How do you find the slope that is perpendicular to the line #3x+2y=-5#?
To find the slope of a perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope-intercept format.
The slope-intercept form of a linear equation is:
Solving the equation in the problem for
Therefore the slope of this line is
The slope of a perpendicular line is the negative inverse of the slope of the line we are given, or
So, for our problem the slope of a perpendicular line is