SOLUTION: I need to write an equation in slope intercept form for a line that is perpendicular to the line whose equation is 3x-2y=4 and has the same y intercept as this line. Thanks

Algebra ->  Graphs -> SOLUTION: I need to write an equation in slope intercept form for a line that is perpendicular to the line whose equation is 3x-2y=4 and has the same y intercept as this line. Thanks       Log On


   

Question 95327: I need to write an equation in slope intercept form for a line that is perpendicular to the line whose equation is 3x-2y=4 and has the same y intercept as this line.
Thanks
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y=4
-2y=-3x+4
y=-3x/-2+4/-2
y=1.5x-2 (red line)
this slope is 1.5 therefore the line perpendicular has a slope of -1/1.5 or -2/3.
having the same y intercept(-2) & a slope of -2/3 we have the equation:
y=-2x/3-2 answer. (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-6%2C+5%2C+y+=+1.5x+-2%2C+y+=+-2x%2F3+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = 1.5x -2 and y = -2x/3 -2).