The answer to your question is y = -1/2x + 2
We have given that,
Line c has an equation of y= 4 3 x+9. Line d is parallel to line c and passes through ( – 4, – 4)
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 the letter x.
y = -1/2x - 2
slope = -1/2
2.- Get the slope of line D. As the lines are parallels, the slope is the same.
slope = -1/2
3.- Find the equation of line D
What is the slope point form?
y - y1 = m(x - x1)
We use the substitution method
y + 2 = -1/2(x - 8)
We simplify the given equation
y + 2 = -1/2x - 8(-1/2)
y + 2 = -1/2x + 4
y = -1/2x + 4 - 2
The equation of line d is y = -1/2x + 2.
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