SOLUTION: Write the equation of the line that has a y-intercept of (0,-9) and is perpendicular to the line 2x - 4y = 8.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line that has a y-intercept of (0,-9) and is perpendicular to the line 2x - 4y = 8.      Log On


   

Question 174087: Write the equation of the line that has a y-intercept of (0,-9) and is perpendicular to the line 2x - 4y = 8.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Line 1 2x+-+4y+=+8.
Arranging to follow Slope-intercept form:
4y=2x-8---->cross%284%29y%2Fcross%284%29=%282x-8%29%2F4=%282%2F4%29x-%288%2F4%29
y=highlight%28%281%2F2%29%29x-2
It shows has a Slope=m%5B1%5D=1%2F2
We know when lines are perpendicular:m%5B2%5D=-1%2Fm%5B1%5D
Then Line 2 has Slope=m%5B2%5D=-1%2F%281%2F2%29=-2
It follows: highlight%28y=-2x-9%29 OR highlight%282x%2By=-9%29 Standard Form (Answer)
we see the graph:
-------> RED, Line 1: GREEN, Line 2
Thank you,
Jojo