Answer:
The Answer is: y = 4/5x + 13/5
Step-by-step explanation:
Find the slope m:
m = (y - y1)/(x - x1)
m = (5 - 1) / (3 - (-2))
m = 4 / (3 + 2)
m = 4 / 5
Use the point slope form and one point. Choose (3, 5):
y - y1 = m(x - x1)
y - 5 = 4/5(x - 3)
y - 5 = 4/5x - 12/5
y = 4/5x - 12/5 + 5
y = 4/5x - 12/5 + 25/5
y = 4/5x + 13/5
Proof:
Let x = -2:
f(x) = 4/5x + 13/5
f(-2) = 4/5(-2) + 13/5
= -8/5 + 13/5
= 5/5
= 1. which gives (-2, 1)
