SOLUTION: Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(-4,3), y+2x=-

Algebra ->  Graphs -> SOLUTION: Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form. P(-4,3), y+2x=-      Log On


   



Question 804454: Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form.
P(-4,3), y+2x=-14

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AND - OR (separate equation)
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Write the equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form.
P(-8,4), Y + 2X = -16

I have no idea how to solve these, would appreciate a few steps! Thank you!

Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
Problem 1:
The first thing you need to do is solve for y.
y%2B2x=-14
y=-2x-14
next you need need to make a new equation that is perpendicular.
To make an equation perpendicular, you take the slope -2 and inverse it and multiply it by a -1.
The perpendicular slope is 1%2F2.
your new equation is
y=%281%2F2%29x%2Bb
to find b, plug in the point they gave you. (-4,3)
3=%281%2F2%29%28-4%29%2Bb
3=-2%2Bb
b=5
The answer is
y=%281%2F2%29x%2B5


Problem 2:
Solve for y.
y%2B2x=-16
y=-2x-16
parallel equations have the same slope.
so your new equation will be
y=-2x%2Bb
plug in the point they gave you to find b. (-8,4)
4=-2%28-8%29%2Bb
4=16%2Bb
-12=b
Your answer is y=-2x-12