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: , where m=slope and (0,b)=y-intercept, we can determine the slope we need.
This line has a slope of m=2/3 our line has a slope of m=-3/2
Using the slope intercept form:
Our m=-3/2 and our (0,b)=(0,2)
Let me know if you needed more than this. I don't know what your instructions were.
Happy Calculating!!!!