someone please help

Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

5 0

2 years ago

Solve the formula 4x+7y=9 for y.

satela [25.4K]

X=0.5
y=1

(4x0.5) + (7x1) = 9
2 + 7 = 9

5 0

1 year ago

Dose anyone know the answer to this question

marishachu [46]

Answer:

Option D!

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is 7/10 - 1/10 in its simplest form

Elenna [48]

3/5 cause you get the lowest common denominator

4 0

2 years ago

Read 2 more answers

two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm

Aleksandr [31]

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

"the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
"x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

5 0

2 years ago

﻿someone please help

someone please help