SOLUTION: L has y-intercept (0, 2) and is perpendicular to the line with equation 2x -3y =6.

Algebra ->  Linear-equations -> SOLUTION: L has y-intercept (0, 2) and is perpendicular to the line with equation 2x -3y =6.      Log On


   



Question 67117: L has y-intercept (0, 2) and is perpendicular to the line with equation 2x -3y =6.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x -3y =6.
Perpendicular lines have slopes that are negative reciprocals of each other. That means their slopes have opposite signs and are upside down.
If we put 2x-3y=6 into slope-intercept form: highlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept, we can determine the slope we need.
2x-3y=6
2x-2x-3y=-2x%2B6
-3y=-2x%2B6
-3y%2F-3=-2x%2F-3%2B6%2F-3
y=%282%2F3%29x-2
This line has a slope of m=2/3 our line has a slope of m=-3/2
Using the slope intercept form: highlight%28y=mx%2Bb%29
Our m=-3/2 and our (0,b)=(0,2)
highlight%28y=%28-3%2F2%29x%2B2%29
Let me know if you needed more than this. I don't know what your instructions were.
Happy Calculating!!!!