SOLUTION: Find the equation of the line passing through the point (−8,4) and perpendicular to the line y=−25x−519 . You may enter your equation in either the slope-intercept or

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the equation of the line passing through the point (−8,4) and perpendicular to the line y=−25x−519 . You may enter your equation in either the slope-intercept or       Log On


   



Question 1186975: Find the equation of the line passing through the point (−8,4) and
perpendicular to the line y=−25x−519 .
You may enter your equation in either the slope-intercept or point-slope form.
Make sure to enclose fractions in parentheses, for example: y = (9/2)*x+(5/2).

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do one using different numbers which
you can use as a model to do yours by.  Here's the problem I'll do:

Find the equation of the line passing through the point (−9,5) and
perpendicular to the line y=−27x−623.
First we find the slope of the line y=−27x−623 by comparing it to y = mx+b,
and we see that the slope m is -27.

The slope of a line perpendicular to a given line has a slope which is the
negative reciprocal of the slope of the given line.  So we take the reciprocal
of -27, which is -1/27, and change its sign.  So the slope of the perpendicular
line is 1/27.  Since it passes through (-9,5), we use to point-slope form which
says the equation of the line through (x1,y1) and having
slope m is:

y-y%5B1%5D%22%22=%22%22m%28x%5E%22%22-x%5B1%5D%29

In this case (x1,y1) = (-9,5), and m = 1/27

y-%285%29%22%22=%22%22%281%2F27%29%28x%5E%22%22-%28-9%29%29

y-5%22%22=%22%22%281%2F27%29%28x%5E%22%22%2B9%29

That's in point-slope form.

Now do yours the same way using your numbers.

Edwin