Question

What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?

A. y = 0.25 x + 3
B. y = 0.25 x - 4.5
C. y = 4x + 18
D. y = 4x - 42

PLEASE HELP

Answer 1

A

Explanation:

Slope intercept form is y = mx + b

First find the slope or m with this equation
`(y2 - y1)/(x2 - x1)` (plug in)
`(6 - 2)/(12 + 4)` =
`(4)/(16)`=
`(1)/(4)`

So your slope is
`(1)/(4)`

To find the y-intercept you use y= mx + b and plug in.

6 = 1/4(12) + b

6 = 3 + b (minus 3 on both sides)

3 = b

so 3 is the y-intercept

So the answer is A.