Answer:
The answer to your question is the letter C) y = 1/2x+ 1
Step-by-step explanation:
Data
Point 1 = (2, 2)
Point 2 = (-4, -1)
Process
1.- Find the slope of the line
Slope = m = (y2 - y1)/(x2 - x1)
x1 = 2 y1 = 2 x2 = -4 y2 = -1
-Substitution
m = (2 + 1) / (2 + 4)
-Simplification
m = 3/6
-Result
m = 1/2
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 2 = 1/2(x - 2)
-Expand
y - 2 = 1/2x - 2(1/2)
-Simplify
y - 2 = 1/2x - 1
y = 1/2x - 1 + 2
-Result
y = 1/2x+ 1
