What is the equation of the line that goes through #(3,-4)# and is perpendicular to #y=3/2x-4#?
1 Answer
Feb 1, 2017
Because we can find the slope, and then solve for the constant by plugging in a point.
Explanation:
Perpendicular lines have opposite reciprocal slopes.
http://www.algebralab.org/lessons/lesson.aspx?file=Geometry_CoordParallelPerpendicular.xml
Above is a great explanation of why that is and some practice.
So the slope of this new line is
Now we plug in the given point
So our final equation is: