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 64863: 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 they have opposite signs and are upside down. We can find the slopes of equations by putting them in slope intercept form: highlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept.
2x-2x-3y=-2x%2B6
-3y=-2x%2B6
-3y%2F-3=-2x%2F-3%2B6%2F-3
y=%282%2F3%29x-2
The slope of this line is m=2/3, so the slope of any line perpendicular to this one is: m=-3/2.
The equation of the line with the slope of m=-3/2 and y-intercept (0,b)=(0,2) is:
highlight%28y=-%283%2F2%29x%2B2%29
Happy Calculating!!!