Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).

Answer 1

Using y = mx + b, input each point into the formula separately to produce the following equations:

1 = 2m + b
2 = -3m + b

Isolate b in each equation to get:

b = 1- 2m
b = 2 + 3m

Set b = b to get:

1 - 2m = 2 + 3m

Add 2m to both sides; Subtract 2 from both sides to get:
1 - 2 = 3m + 2m
- 1 = 5m

Divide both sides by 5 to get
-1/5 = m

Input -1/5 for m into one of the original equations and solve for b
b = 1 - 2(-1/5)
b = 1 + 2/5
b = 5/5 + 2/5
b = 7/5

Therefore the equation of the line is

y = -x/5 + 7/5

or

y = (7 - x)/5

Answer 2

By the way, you didn't post the equations below.