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 88297: L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y in the equation of the given line:
2x - 3y = 6
-3y = -2x +6

%28-3y%29%2F-3=%28-2x%29%2F%28-3%29+%2B6%2F-3
y=%282%2F3%29x+-2
The slope of this line is 2%2F3, so the slope of a line that is perpendicular to this line is the negative reciprocal, which is -3%2F2.
Given that the y intercept is 2 means that b=2.

y=mx+b
y=%28-3%2F2%29x%2B2

R^2