SOLUTION: Find the equation of the lines that are both passing through the point (10,-8) with slopes 5 and -1/5. Answer: _____x - y - _____ = 0 x + _____y + _____ = 0

Algebra ->  Test  -> Lessons -> SOLUTION: Find the equation of the lines that are both passing through the point (10,-8) with slopes 5 and -1/5. Answer: _____x - y - _____ = 0 x + _____y + _____ = 0      Log On


   

Question 1118859: Find the equation of the lines that are both passing through the point (10,-8) with slopes 5 and -1/5.
Answer: _____x - y - _____ = 0
x + _____y + _____ = 0
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
variable point (x,y)
%28y-%28-8%29%29%2F%28x-10%29=5
Work with it!


Variable point (x,y)
%28y%2B8%29%2F%28x-10%29=-1%2F5
Work with it!



The two lines are also perpendicular because of %285%29%28-1%2F5%29=-1.

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


(1) slope 5

The equation is y+=+5x%2Bb for some constant b. To find the value of b, substitute the x and y values of the given point.

-8+=+5%2810%29%2Bb
...

(2) slope -1/5

Same thing, but now the form of the equation is y = (-1/5)x+b. Find b as for the other line.