PLEASE HELP!
1. Write an equation in slope
intercept form that passes
through (−1,2) and has a
slope of 2.
2.
Write the equation of the
line in slope intercept form
that contains the points
(4,−2) and (2,5).

Answers

Answer 1

Answer:

1.[tex]y=2x+4[/tex]
2.[tex]y=1x+3[/tex]

Step-by-step explanation:

Given the following questions:

Question one:

Point A = (-1, 2) = (x1, y2)
m = 2

To find the answer we will use the formula to find the slope intercept, substitute the values and then solve for b.

[tex]y=mx+b[/tex]
[tex]m=2[/tex]
[tex]x=-1[/tex]
[tex]y=2[/tex]
[tex]2=2(-1)+b[/tex]
[tex]2\times-1=-2[/tex]
[tex]2=-2+b[/tex]
[tex]-2+2=0[/tex]
[tex]2+2=4[/tex]
[tex]4=b[/tex]
[tex]b=4[/tex]
[tex]y=2x+4[/tex]

The slope intercept form of the line that passes through (-1, 2) and has a slope of 2 is "y = 2x + 4."

Question two:

Point A = (-1, 2) = (x1, y1)
Point B = (2, 5) = (x2, y2)

To find the slope intercept form we must first find the slope using the formula to calculate slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5-2}{2--1}=\frac{3}{3}[/tex]
[tex]3\div3=1[/tex]
[tex]m=1[/tex]

Now that we have the slope, we will use the formula for slope intercept, substitute the values, then solve for b.

[tex]y=mx+b[/tex]
[tex]m=1[/tex]
[tex]y=2[/tex]
[tex]x=-1[/tex]
[tex]2=1(-1)+b[/tex]
[tex]1\times-1=-1[/tex]
[tex]2=-1+b[/tex]
[tex]-1+1=0[/tex]
[tex]2+1=3[/tex]
[tex]3=b[/tex]
[tex]b=1[/tex]
[tex]y=1x+3[/tex]

The line that passes through the points (4, -2) and (2, 5) in slope intercept form is indeed "y = 1x + 3."

Hope this helps.


Related Questions

PLEASE can someone do A, B, D, And The Graph

Answers

answer 33

because i had abd and ur mum jk but yea

Indicate whether x and y show direct variation.
3 + y = 5x

Answers

Answer:

Let's understand the solution in detail.

Explanation:

Given: 5x = 3y

We can rearrange it as y = 5x / 3

Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.

Here k = 5 / 3.

Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.

please help quick please

Answers

Answer:

OPTION B

Step-by-step explanation:

so to fine the slope of the line of company R

You have to choose any two points from the table. example: (1,100) (2,125)

Slope=Y-Y/X-X=125-100/21-1=25/1=25

y=b+25x

you can see that company R charges 5$ less than Company P for each x.

How many multiples of 5 are there between 176 and 389

Answers

Answer:

I think its 4 2 because I did thetheath for miles and it was 42 times and no dont say im copying the person that commented the answer no im.im.not and if u still think it is then no im not just saying im not copying the person answer

Step-by-step explanation:

3см
10cm
I don’t know how to do this question

Answers

Step-by-step explanation:

2 · π · r · (r + h)

2x3.14x3x(3+10)
6.28x3x13
18.84x13
244.92

Put the following equation of a line into slope-intercept form, simplifying all fractions.
20y-4x=100

Answers

Answer:

[tex]y = \frac{1}{5}x + 5[/tex]

Step-by-step explanation:

20y - 4x = 100

20y= 4x + 100

Divide everything by 20

20y/20 = y

4x/20 = 1/5x

100/20 = 5

y = 1/5x + 5 (that's the answer)

[tex]20y - 4x = 100\\20y = 4x + 100\\\frac{20y}{20} = \frac{4x}{20} +\frac{100}{20} \\y= \frac{1}{5}x +5[/tex]

x•7 if x= 3/4 what is the value of this expression​

Answers

answer:
5.25

step-by-step explanation:
x = 3/4
x • 7
3/4 • 7
3/4 • 7/1
21/4
5.25

Jackson buys a new shirt that is originally listed as $14.00. The shirt is 25% off the original price.

Answers

the answer is 10.50
I hope this helps

Study the following diagram, where chords JK¯¯and LM¯¯ of circle V are equidistant from the center, shown by AV¯¯ and CV¯¯, which are congruent.
Which congruence statement is true?
JK=VM
AK=AV
JK=LM
VC=AJ

Answers

JK=LM (line from any point of circumference to another pointer of circumference)

A theater has 40 rows of seats. There are 22 seats in each row. It costs $2.79 to deep clean each seat. How much does it cost to deep clean all the seats in the theater?

Answers

40(22)=968
968(2.79)=$2700.72

Answer:

$2455.2

Step-by-step explanation:

40 rows * 22 seats per row = 880 seats total
880 * $2.79 = $2,455.20

A 6-pack of markers costs $3.96. What is the unit price? ​

Answers

To find the unit price, divide the total cost by the amount of markers. This gets you the price for one individual marker

3.96 / 6 = 0.66

The unit price is $0.66

Answer:

0.66

Step-by-step explanation:

divide the numbers

The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find
the distance on the map. x, that represents 50 miles?
5 х
200
=
50
200
5
х
50
50
5
© 200 x
50 - 200
=
Math

Answers

Step-by-step explanation:

The scale is:

200 miles ⇒ 5 inches

We need to find the length of 50 miles represented by x inches on a map.

50 mile ⇒ x inches

Based on he above we can set ratio:

200/50 = 5/x

This can be rewritten as cross-product:

200*x = 5*50

The solution is:

x = 250/200x = 1.25 inches

Any proportion we same outcome for x is correct choice.

Scale given

200mi=5in

Mow

50mi=xin

Lets solve

200:5=50:x40:1=50:x40=50/xx=1.25in

How do you find the area of a triangle with base 21 and height of 3?

Answers

Answer:

Area= [tex]\frac{1}{2}[/tex]bh

Step-by-step explanation:

so, A=  [tex]\frac{1}{2}[/tex](21)(3)= 31.5 [tex]m^{2}[/tex]

Answer:

Area = 31.5

Step-by-step explanation:

[tex]A=\frac{H_bb}{2}=\frac{3*21}{2}=31.5[/tex]

~Learn with Lenvy~

pls help
Carla and Joe are servers at a restaurant.
Carla received a 20% tip on a $55 dinner bill.
Joe received an 18% tip on a $70 dinner bill.
Who received the largest tip?

Answers

Answer:

Carla: 65 * 0.20 = $13 Joe: 80 * 0.18 = $14.40 Joe received higher tips :) hope this helps

c) There are 32 students in a class. If the ratio of the number of boys and girls is 5:3, find the number of boys and girls. ​

Answers

Answer:

The no. of boys = 20

The no. of girls = 12

Step-by-step explanation:

Ratio of no. of boys to girls = 5 : 3

[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]

5x + 3x = 32

= 8x = 32

=x = 32÷8 = 4

5x = 5 x 4 = 20

3x = 3 x 4 = 12

boys : girls = 5 : 3 (total ratio = 8)

boys = 5/8 x 32 = 20

girls = 3/8 x 32 = 12

Help!!!!!!!!!!!! Need answer fast!!!!!!!!!!!
In the figure shown, L is the center of the circle and PQ is a chord of the circle measuring 20 cm.

What is the length, in cm, of PL? Round to the nearest hundredth digit.


Show me:

(a) length of segment PM (1 point)

(b) what circle property did you use to find the length of PM (1 point)

(c) what formula/theorem did you use to calculate the length of segment PL (1 point)

(d) all math used to calculate the length of segment PL (1 point)

Round your answer to the nearest hundredth digit.

Answers

The value of PM is the circle is about 11.66 cm

What is Pythagoras theorem?

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

From the diagram:

PM = PQ/2 = 20 / 2 = 10 cm

Hence, using Pythagoras:

PL² = LM² + MP²

PL² = 6² + 10²

PL = 11.66 cm

The value of PM is the circle is about 11.66 cm

Find out more on Pythagoras theorem at: https://brainly.com/question/343682

3 times the difference between 5 and y

Answers

Answer:

3(5-y)

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

(-3, -6)

explanation:

When reflected across x axis, the x value will be same and y value will become negative.

original coordinates of D: (-3, 6)

so new coordinates: (-3, (-)6) = (-3, -6)

Please Someone Help With This Question!

Answers

Answer:

x ≤ 24

Step-by-step explanation:

Note: we can treat this as a normal equation

First, we can subtract 10 from both sides to get x/4 ≤ 6

Next, multiply both sides by 4 to get x ≤ 24

Answer: x ≤ 24

Hope this helps!

the greatest integer that will divide both 520 and 1600 exactly.

Answers

I believe that the answer is 40

Mrs. Mitchell tutors four students on Saturday for 60 minutes each and she takes a ten-minute break between each appointment. If she starts at 9:30 a.m., what time will she finish?

Answers

Answer:

2:00 PM

Step-by-step explanation:

time per student = 60 mins = 1 hr

number of student = 4

time of break = 10 mins

hr : mins

start: 9:30 AM

student 1: 1

break: 10

student 2: 1

break: 10

student 3: 1

break: 10

student 4: 1

[tex] - - - - - - [/tex]

13:60 --> 1 hr

= 14:00

2:00 PM (ANS)

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0. 0625 0. 5625 0. 375 1.

Answers

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

[tex]P=\dfrac{6}{16}\\P=0.375[/tex]

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

https://brainly.com/question/24756209

can someone please help me im confused

Answers

b, i think is b and im to crazy to right the solution :))

Use the standard normal table to find P(z ≥ 1. 4). Round to the nearest percent. %.

Answers

The probability for the z-score is greater than or equal to 1.4 is 0.08076 or 8.076 %.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The probability for the z-score is greater than or equal to 1.4 is given as

P(z ≥ 1.4) = 1 - P( z < 1.4}

P(z ≥ 1.4) = 1 - 0.91924

P(z ≥ 1.4) = 0.08076

P(z ≥ 1.4) = 8.076 %

More about the z-score link is given below.

https://brainly.com/question/13299273

Graph Angle ABC if A(-1,4), B(-3,-3), and C(3,1).
Use the measure angle tool to find the measure of angle ABC.
Enter the number only to the nearest tenth for a possible bonus point.

Answers

Answer:

  40.4

Step-by-step explanation:

We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.

  ∠ABC ≈ 40.4°

2. A circular flower bed has a radius of 7 yards. Determine the circumference of the flower bed.
a. 153.86 yds
b. 43.96 yds
C. 13.28 yds
d. 153 yds

Answers

Answer:

b. 43.96 yds

Step-by-step explanation:

Circumference of a circle =  π × 2 × radius

Take π as 3.14

3.14 × 2 × 7 = 43.96

the scale on a map is 1 in to 40 mi find the distance for 5 1/2 in

Answers

5.5 inches x 40 miles = 220 miles

Help help I need this

Answers

Answer:

8.725 as a mixed number = 8 29/40

Step-by-step explanation:

ez

324.56 × 54.82

SHOW YOUR WORK

ALL OF IT PLEASE AND THANK YOU!
PLEASE HURRY!

Answers

Answer:

17792.3792

Step-by-step explanation:

:))))))

En una granja hay gallinas y vacas, en total uman 624. Se sabe que el numero de vacas son 36 veces mas que el numero de gallinas. Cuantas vacas hay en total?


AYUDA PORFA

Answers

Answer:

17 R 12

Step-by-step explanation:

Hola,

en total son 624 y las vacas son 36 mas que las gallinas, vos tienes que divider 624 con 36

624÷36

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