Question

Write the slope-intercept equation for the line that passes through (-4, 6) and (2, -6). Please show all of your work.

Answer 1

insert each point into y = mx + b like so:

6 = -4m + b
-6 = 2m + b

Isolate b in each equation

b = 6 + 4m
b = -6 - 2m

set b = b

6 + 4m = -6 - 2m

Place like terms on the same side

2m + 4m = -6 - 6
6m =-12
m = -12/6
m = -2

Now find b

b = 6 + 4m
b = 6 + 4(-2)
b = 6 - 8
b = -2

Now that we've found m and b, we can write the slope-intercept form of the line:
y = -2x - 2