Answer:
The answer to your question is c) y = (-2/3)x + 8/3
Step-by-step explanation:
Data
A (-2, 4)
B (1, 2)
Process
1.- Calculate the slope of the line
-Formula
m = (y2 - y1)/(x2 - x1)
x1 = -2 y1 = 4 x2 = 1 y2 = 2
-Substitution
m = (2 - 4) / (1 + 2)
-Simplification
m = -2/3
2.- Find the equation of the line
Formula
y - y1 = m(x - x1)
-Substitution
y - 4 = -2/3 (x + 2)
-Simplify
y - 4 = (-2/3)x - 4/3
y = (-2/3)x - 4/3 + 4
y = (-2/3)x - 4/3 + 12/3
-Result
y = (-2/3)x + 8/3
