Question

What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?

Answer 1

Slope of a line that is perpendicular to the line whose equation is \(y = mx - b\) is \(-\dfrac{1}{m}\).

Answer 2

Well first you want to make it into slope intercept form:
Next, you need tofind the slope, which is right there, 3/2.
A perpendicular line has the opposite- reciprocal slope.
So, the opposite of 3/2 is -3/2, and the reciprocal of that is -2/3.
Just flip it and add a negative sign

Any questions?