Step One
Find the slope first
Formula
m = (y2 - y1) / (x2 - x1)
Givens
y2 = 5
y1 = 2
x2 = 3
x1 = - 3
m = (5 - 2)/(3 - - 3)
m = 3 / 6
m = 1/2
Step Two
Find the y intercept.
Use (5,3) [It does't matter which point you use]
y = (1/2)*x + b
5 = 1/2*3 + b
5 = 1.5 + b
5 - 1.5 = 1.5 - 1.5 + b
b = 7/2
Answer
y = (1/2)x + (7/2) or
y = 0.5x + 3.5
If you have answers please list them.
If you need the standard form let me know.