Answer:
The answer to your question is y = -1/2x + 2
Step-by-step explanation:
Data
Line C y = -1/2x - 2
Line D = ?
Point = (8, -2)
Process
1.- Get the slope of line C. The slope is the coefficient of letter x.
y = -1/2x - 2
slope = -1/2
2.- Get the slope of the line D. As the lines are parallels, the slope is the same.
slope = -1/2
3.- Find the equation of line D
y - y1 = m(x - x1)
-Substitution
y + 2 = -1/2(x - 8)
-Simplification
y + 2 = -1/2x - 8(-1/2)
y + 2 = -1/2x + 4
y = -1/2x + 4 - 2
-Result
y = -1/2x + 2
