Question

Find an equation for the line below.

Answer 1

Answer:
`y = (1)/(2)x + (1)/(2)`

Explanation:

Step 1: Find the slope using the two points given

`(3,2)`and
`-(5,-2)`

use the slope formula ->
`slope = (y2 - y1)/(x2 - x1)`

`= (-2-2)/(-5 - 3)`

`= (-4)/(-8)`

`= (1)/(2)`

Plug in the slope into the slope-intercept form ->
`y = mx + b`

`y = (1)/(2)x + b`

Step 2: Find the y-intercept (also known as b in the formula above):

Do this by taking any point (3,2) or (-5,-2) and plugging it into the slope equation in Step #1

`(3,2)\\y = (1)/(2)x + b\\2 = (1)/(2)(3) + b\\2 = (3)/(2) + b\\4 = 3 + 2b\\1 = 2b\\b = (1)/(2)`

Step 3: Plug in the slope we found in step 1 and the y intercept in step 2

`y = mx + b\\y = (1)/(2)x + (1)/(2)`