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

Respuesta :

Answer:

A

Step-by-step explanation:

Slope intercept form is y = mx + b

First find the slope or m with this equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] (plug in) [tex]\frac{6 - 2}{12 + 4}[/tex] = [tex]\frac{4}{16}[/tex]=  [tex]\frac{1}{4}[/tex]

So your slope is [tex]\frac{1}{4}[/tex]

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.