Find an equation for the line that passes through the points (-6, -5) and (4, -3).

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the equation of a line passing through two points, we can use the slope-point form:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line, m is the slope of the line and can be calculated as

m = (y2 - y1) / (x2 - x1)

where (x2, y2) is the second point on the line.

Given the points (-6, -5) and (4, -3), we can substitute the values into the slope formula to find m:

m = (-3 - (-5)) / (4 - (-6)) = 2 / 10 = 1/5

Next, we can substitute the point (-6, -5) and the slope 1/5 into the slope-point form to find the equation of the line:

y - (-5) = 1/5 (x - (-6))

y + 5 = 1/5 x + 6

5y + 25 = x + 30

5y = x + 5

y = (x + 5) / 5

Thus, the equation of the line passing through the points (-6, -5) and (4, -3) is y = (x + 5) / 5.


Related Questions

is f(x)=3/7+7x^2 polynomial

Answers

You must first formulate a polynomial equation in standard form before you can solve it. Factor it, then set the values of each variable factor to zero after it reaches zero.

How do you calculate a polynomial?

The original equations' answers are the answers to the derived equations. Factoring cannot be used to resolve all polynomial equations.

The sum of terms with the pattern kxn, where k is any number and n is a positive integer, is what we call a polynomial.

It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.

Solving Equations : f(x)=3/7+7x^2

Domain of 3/7 + 7x²    

Solution : -∝ < x <∝

Interval Notation :  ( - ∝,∝)

Rage of 3 / 7+ 7x²

Solution :  0 < f(x) ≤ 3/7

Interval Notation :  ( 0 , 3/7)

Axis interception Points of (3 / 7+7x²;

Y Intercepts : (0,3/7)

Asymptotes of 3 / 7 + 7x² ;

Horizontal : y = 0

Extremes Points of 3 / 7 - 7x²;

Maximum(0 , 3 / 7).

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Amanda joins a health club with a one time membership fee of $40 and $25 for each month. So far, Amanda has paid a total of $240. Find the number of months Amanda has been a member of the club.

Answers

Answer:

She has been there for 8 months

Step-by-step explanation:

Add 40 and keep adding $25

until you get to $240 and then count how many times you added 25 and you should get the answer

f(x) = 4 - 3x

g(x) = 2x^2 - 3x +1

Answers

Answer:

[tex]x = \frac{4}{f - 3} [/tex]

Step-by-step explanation:

add 3x to both sides

[tex]fx + 3x = - 3x + 4 + 3x \\ fx + 3x = 4[/tex]

factor out variable x

[tex]x(f + 3) = 4[/tex]

divide both sides by f+3

[tex]x = \frac{4}{f - 3} [/tex]

please help me with math i’ll give you brainlist

Answers

Answer: y = -1.6x + 4

Step-by-step explanation:

I used the y = mx + b method, m is your slope and b is your intercept.

Lmk if this answer was useful towards you!

Meg has 10 feet of ribbon that she wants to divide into of foot pieces. How many foot pieces are there in 10 feet?

Answers

Answer:

20

Step-by-step explanation:

A person has 2 feet (1 is a foot)

Meg has 10 feet of ribbon

therefore 10 × 2 = 20

in 10 feet there are 20 "foot"

If f(1) = 8 and f(n) = F(n - 1)-4 then find the value of f(4)

Answers

Answer:

Step-by-step explanation:

f(2)=f(1)-4=8-4=4;

f(3)=f(2)-4=0

f(4)=f(3)-4=-4;

Please hurry need answer right away.

Usain can run 100 yards (yd.) in
seconds (s.). If there are 1,760 yards in
a mile (mi.), which of the following shows
Usain's speed in miles
per hour
(hr.)?
100 yd.
mi.
9 s.
1,760 yd.
3,600 s.
1 hr.
K
100 yd.
1,760 yd.
1 hr.
9 s.
mi.
3,600 s.
9 s.
1,760 yd.
100 yd.
1 mi.
3,600 s.
1 hr.
9 s. • 100 yd.
M
3,600 s. 1,760 yd.
N
3,600 s. • 1,760 yd.
9 s. • 100 yd.

Answers

Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).

So, to find Usain's speed, we use the formula:

Speed = Distance / Time

In this case, we have:

Speed = (100 yd) / (9 s)

We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:

1 yd = 1/1,760 mi

1 s = 1/3,600 hr

By applying this conversion factor we get the speed in miles/hour.

Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)

So the final answer will be:

Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour

Hence, option M: 3,600 s is the final answer.

Step-by-step explanation:

I need help on These I’ll give you brainliest

Answers

Answer:

its b

Step-by-step explanation: if your doing lcm it would be 40 please comment on this if its not lcm or if I'm just wrong

I hope this help

Am actually in the same math



The LCM of 12 and 15 is 60. To find the least common multiple (LCM) of 12 and 15, we need to find the multiples of 12 and 15 (multiples of 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and choose the smallest multiple that is exactly divisible by 12 and 15, i.e., 60.

1. ANSWER .60


2. Maybe C or D

Because Juan is fast but Joe is slow so am not really sure

A
Bob discovers gold in the hills, and suddenly the area is full of people mining for gold. What impact might this have on the land of the
region?
B
7th Grade Geography (CoS) / Physical Sy
[G.11] Natural Resources 3-Strategic Thinki:
The farms will increase production immediately in order to feed all the people.
Sh
The land will be significantly changed as people dig mines, clear land, and use up natural resources.
C
Air pollution will increase as equipment is used to make the gold mines more efficient.
D The water supply will decrease as more people use it to bathe.
4 of 25
11:37
E
E
C
F
Next

Answers

Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.

Thus the answer is d

Step-by-step explanation:

Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of [tex]2/7[/tex]

Answers

The value if side x is 42

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

Given;

Scale factor= 12

Now, to find the value of x;

We will divide 12 by the scale factor

=12/(2/7)

=(12x7)/2

=42

Therefore, with scale factor 2/7 the side x of figure A will be 42

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92 people had lunch in the cafeteria. 9 people had soup, a sandwich, and a drink. 33
people had soup, 45 had a sandwich, and 52 had a drink. 5 people had soup and a sandwich. 10 people had a sandwich and a drink. 5 people had soup and a drink. How many people had only a drink?

14 people
21 people
28 people
93 people

Answers

Answer:

28

Step-by-step explanation:

52 in toatal had a drink

10 had a drink and a sandwich

5 had drink and soup

9 had all

so in total out of the 52 drinks, 24 had a drink and something

52 - 24 = 28

what type of transformation is it

Answers

Answer:

Translation

Step-by-step explanation:

You're moving down 5 units, and left 1 unit, so therefore it's a translation 5 units down and 1 unit to the left.

Graph the solution of |2x-1|=3 on the number line.

Answers

The graph of the solutions of the absolute value equation can be seen on the image at the end.

How to graph the solution of the equation?

Here we have the absolute value equation:

|2x - 1| = 3

We can "break" that absolute value equation into two simpler ones, we will get:

(2x - 1) = 3

(2x - 1) = -3

Now we can solve these two, we will get for the first one.

2x - 1 = 3

2x = 3 + 1

x = 4/2

x = 2

The other gives.

2x - 1 = -3

2x = -3 + 1

2x = -2

x = -2/2 = -1

The solutions are 2 and -1, then the graph is the one below.

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x/a+b=c. solve for x

Answers

x/a+b=c so take b to the other side first of all so x/a=c-b then take a to the other side so it’ll be x=c-b divided over a

Kayla is 3/4 of the way from New York to Boston. She began with 4/5 of a full tank of gas. She has 1/5` of a tank of gas left. Does she have enough gas to reach Boston?

Answers

Yes, Kayla has enough gas to reach her destination which is Boston.

What is ratios?

Ratios can be defined as the expression that shows the relationship between two variables that are of the same unit.

The present location of Kayla = 3/4 of the way to new York.

The remaining distance = 1/4

The quantity of fuel that took her to that present location = 4/5 of full tanks

Therefore if 3/4 distance = 4/5 fuel

1/4 distance = 1/5 fuel

It can be concluded that Kayla has enough gas to reach her destination which is Boston.

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2y−5x=−10? help me please

Answers

Solution is under this…

Solution:

dy 5
— = —
dy 5

ANSWER ASAP PLEASEEEEEE

Answers

Option three I think but not 100% sure

Write an equation of the direct variation that includes the point (9, -12).

A. y = -1/2 x
B. y=-1½ x
C. y=1/3x
D. y=-3x

Answers

Answer:

none of these

Step-by-step explanation:

An equation in the form of direct variation is in the form

y = kx

Checking each equation and substituting the point

-12 = -1/2 (9)

-12 = -4.5  not true

-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5

-12 = -13/5  not true

-12 = 1/3 (9)

-12 = 3  not true

-12 = -3(9)

-12 = -27 not true

It has not been shown that _____. The triangles ____ congruent because ______.

Answers

A triangle only has 3 sides and 3 angles. If we know 4 distinct side measures or 4 distinct angle measures, then we know the two triangles cannot be congruent.

what is congruent triangles?

SSS: When all three sides are equal to each other on both triangles, the triangle is congruent. AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.The term “congruent” means exactly equal shape and size. This shape and size should remain equal, even when we flip, turn, or rotate the shapes.The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.

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Three people swim a total of 2125 laps john swam 3 times more than rita and mathew swam 25 more than jhon how many laps did they each swim

Answers

Answer:

let x to be john

y to be Rita and z to be Mathews

Step-by-step explanation:

x+y+z=2125....,..........i

x=3y............................ii

y+25=z......................iii

from Qnii substitute in qn i

3y+y+z=2125

4y+z=2125

-y+z=25 by eliminate z

5y=2100 by 5 both sides

y=420

z=445

x=1260

Rita swam about 2125 laps
John swam about 2128 laps
Matthew swam about 2150 laps

Winnie the witch just got a new spell book- Quick and Easy Spells for the Overworked Witch. It contains 3 different spells that take 20 minutes each to complete, 5 spells that take 9 minutes each, and 3 spells that take 4 minutes each. She performed 8 spells for 95 minutes. Which spells did she do? (She didn't repeat any spells.)​

Answers

Answer:

The three spells that take 20 minutes to complete and the five spells that take 9 minutes each

An Uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip find the rate of the cost per mile

Answers

The cost per mile for both trips are $4.5 and $3.65

How to calculate the cost per mile ?

An uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip

The cost per mile for both trips can be calculated as follows

The first step is to calculate the cost of mile for the First trip

13.15= 3

x= 1

cross multiply both sides

3x= 13.15

x= 13.15/3

x= 4.5

The next step is to calculate the cost of mile for the Second trip

18.25= 5

y= 1

cross multiply both sides

5y= 18.25

y= 18.25/5

y= 3.65

Hence the cost per mile for both trips are $4.5 and $3.65

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who needs special prayer

Answers

Answer: ok

Step-by-step explanation: :D

(Look at picture) ty btw :)!!!!! <3

Answers

Answer:

Step-by-step explanation:

6

Solve for x.

x2.5<10

x

Answers

Answer:

[tex]-2\sqrt{5} < x < 2\sqrt{5}[/tex]

Step-by-step explanation:

Sue and Pam are sisters, but they live far from each other. They both
want a garden at their respective homes, and they decide they want to
build identical flower gardens that are in the shape of a triangle.
They spend a lot of time emailing and talking on the phone, trying to
figure out how to make these triangular gardens exactly the same.
• Sue suggests that they each make their gardens with brick walls
outlining the gardens, and they should make sure all three angles
of the two triangles are the same: 30, 60, and 90. Sue asserts
that this will make their gardens congruent.
Pam likes the idea of the wall, but instead she thinks that they
should make their triangles equal by making one wall 7 feet long
with a 30 angle attached to it. Sue says the other two walls
will match up to make a triangle, and that their triangles will
be equal.
The two women can't agree on the best method. They hire you to help
them with the design.
Determine if either of their methods will create congruent
triangular gardens. Use your congruent triangle theorems, like
SSS, ASA, SAS, to decide.
If you don't think that a method will work, you must explain why
the method will not work.
How do you think Sue and Pam should create congruent triangular
gardens?

Answers

On solving the provided question we can say that so SAS, the are congruent triangles

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have to triangles

with angles as 30,60,90 and 60,60,90 respectively

and 2 sides of 7 cm each.

so SAS, the are congruent triangles

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f(x) has domain
✔ {–4, –2, 0, 2, 4}
, and range
✔ {–2, –1, 0, 1, 2}
.

The rule that maps each domain value to its range value is f(x) =
x.

Answers

Answer:

f(x) = 0.5x

Step-by-step explanation:

note that each of the values in the range is half its corresponding value in the domain

- 4 ÷ 2 = - 2

- 2 ÷ 2 = - 1

0 ÷ 2 = 0

2 ÷ 2 = 1

4 ÷ 2 = 2

then

f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x

The earth is approximately 93,000,000 miles from the sun how long does it take from the Sun to reach the earth use the speed of light to be 1.86×10^5 Miles per second

Answers

The light from the sun takes 8 minutes 20 seconds to reach the earth.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.

Now we know speed = Distance/ time

Thus we have Time taken = 93000000/1.86×10⁵

                                           = 8 minutes 20 second (approx)

Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.

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A Sumer job pays $5 per hour

b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.

Answers

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Stacy read a book with 106 pages, her friend read a book with 164 pages, look at the 6 digit in both of the page numbers, what is similar and different about the 6's

Answers

The difference is one 6 is at ones place and another 6 is at tens place.

What is Place Value?

In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.

Given:

Stacy read a book with 106 pages.

and,  her friend read a book with 164 pages.

In case of stacy the place value of 6 is at ones place.

and, in Stacy's friend case the place value of 6 is at tens place.

So, the difference is one 6 is at ones place and another 6 is at tens place.

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