SOLUTION: Write the equation of the line L satisfying the given geometric conditions. L has y intercept (0,2) and is perpendicular to the line with equation 2x-3y=6 McGraw Hill 6th e

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line L satisfying the given geometric conditions. L has y intercept (0,2) and is perpendicular to the line with equation 2x-3y=6 McGraw Hill 6th e      Log On


   



Question 53969: Write the equation of the line L satisfying the given geometric conditions.
L has y intercept (0,2) and is perpendicular to the line with equation 2x-3y=6

McGraw Hill 6th edition. CH. 7.3 Problem # 40
Thank you so very much for your time!!!!!

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
First solve the equation for y: y=2%2F3%2Ax-2. That means the slope is 2%2F3 as the equation is the form y=mx+b, where m is the slope. That also means that the slope of a line perpendicular to that one is -3%2F2. So the equation of the line for the perpendicular becomes y=-3%2F2%2Ax%2Bb. Using the ordered pair (0,2) gives us b=2, so our equation is now y=-3%2F2%2Ax%2B2. The graph of both equations is:
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C2x%2F3-2%2C-3x%2F2%2B2%29