SOLUTION: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line with equations 2x-3y=6. Someone please he

Algebra ->  Rational-functions -> SOLUTION: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line with equations 2x-3y=6. Someone please he      Log On


   



Question 256302: Write the equation of the line L that satisfies the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equations 2x-3y=6. Someone please help me by showing me the steps to get to the answer. Thanks.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of your first line.
2x-3y=6
-3y=-2x%2B6
y=%282%2F3%29x-2
Perpendicular lines’ slopes have the following relationship:
m1%2Am2=-1
m1=%282%2F3%29
m2=-%283%2F2%29
Slope-intercept form
y=mx+b
You know that b=2
y=-%283%2F2%29x%2B2
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%282%2F3%29x-2%2C+-%283%2F2%29x%2B2%29+