How do you write the slope-intercept form of the equation of the line perpendicular to the graph of #y=-3/2x-7# that passes through (3, -2)?
First, let's find the slope of the equation. It is perpendicular to
Perpendicular slopes are always opposite reciprocals of one another.
Opposites: positive vs. negative (-3 and 3 are opposites)
Reciprocals: numbers that multiply to 1 (
Opposite (positive) reciprocal of
So far our equation is
Plug in the point that lies on this equation (3, -2)
The equation is