SOLUTION: Consider the line y=-7x+9 Find the equation of the line that is perpendicular to this line and passes through the point (5,-2) Find the equation of the line that is parallel

Algebra ->  Graphs -> SOLUTION: Consider the line y=-7x+9 Find the equation of the line that is perpendicular to this line and passes through the point (5,-2) Find the equation of the line that is parallel       Log On


   

Question 1021091: Consider the line y=-7x+9
Find the equation of the line that is perpendicular to this line and passes through the point (5,-2)
Find the equation of the line that is parallel to this line and passes through the point (5,-2)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You can stay completely in slope-intercept form if you want to.
y=mx%2Bb
y-mx=b
b=y-mx
which you can reform as highlight_green%28y=mx%2B%28y%5Br%5D-mx%5Br%5D%29%29 for whatever reference point with those coordinates you have.



Find the equation of the line that is perpendicular to this line and passes through the point (5,-2)
This needs m=1%2F7, which is negative reciprocal of the slope in your given equation. That makes the line you want PERPENDICULAR.
highlight%28y=%281%2F7%29x%2B%28-2-%281%2F7%29%2A5%29%29, which you just need to simplify.


Find the equation of the line that is parallel to this line and passes through the point (5,-2)
The slope here will be m=-7; do this one on your own.