SOLUTION: Write an equation of the line that passes through the point P and is parallel to the line with the given equation: P(-1,3); y = -4x + 7

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Question 1039107: Write an equation of the line that passes through the point P
and is parallel to the line with the given equation:
P(-1,3); y = -4x + 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the given line y = -4x+7 is -4
So m = -4

The slope of ANY line parallel to this one also has a slope of m = -4

The given point is (x,y) = (-1,3) so x = -1 and y = 3

Plug in
m = -4
x = -1
y = 3
into the y = mx+b equation. Then solve for b.

y = mx+b
3 = -4*(-1)+b
3 = 4+b
3-4 = 4+b-4
-1 = b
b = -1

We know that m = -4 and b = -1, so the y = mx+b equation turns into y = -4x-1

Final Answer: y = -4x-1