SOLUTION: I'm studying for my finals and I can't figure this question out. I can't remember the steps. Find an equation for the line which passes through the point (30,-6) and is perpendic

Algebra ->  Linear-equations -> SOLUTION: I'm studying for my finals and I can't figure this question out. I can't remember the steps. Find an equation for the line which passes through the point (30,-6) and is perpendic      Log On


   



Question 874691: I'm studying for my finals and I can't figure this question out. I can't remember the steps.
Find an equation for the line which passes through the point (30,-6) and is perpendicular to the line 3x+5y=15

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B5y=15
5y=-3x%2B15
y=-%283%2F5%29x%2B15, your given equation in slope-intercept form.

The negative reciprocal of that slope is 5%2F3, and this then is the slope for a line perpendicular to y=-%283%2F5%29x%2B15.

Using a more general equation for what you search for, y=%285%2F3%29x%2Bb, and you will use the point to be on this line to determine b. This is left for you to finish.