Write an equation in slope-intercept form for the line passing through the pair of points.

(2, –6), (–4, 3)

A. Y = –3/2x + 3
B. Y = –3/2x — 3
C. Y = 3/2x — 3
D. Y = 3/2x + 3

Respuesta :

Answer:

B

Step-by-step explanation:

use the slope formula to find the slope. y2-y1/x2-x1. 3-(-6)/-4-2 which is 9/-6 (subtracting a negative number is the same as adding a positive) which can be simplified to -3/2 which is the slope. the intercept is the point where y is at x=0, we already know at y=3 x is -4 from the second point, so the y intercept has to be -3. which can be proven by replacing the x and y with a point 3 = -3/2(-4) - 3. put -3/2 times 4 into a calculator and you get 6, 6-3 is 3 which makes the statement true.