Question

What is the slope of a line that is perpendicular to the line y= -2/3x + 4?

Answer 1

`(3)/(2)`

Explanation:

Since the given line is in the slope- intercept form, its gradient can be seen from the coefficient of x, which is -2/3.

The product of the slopes of perpendicular lines is -1.

Let the slope of the line be m.

`m( - (2)/(3) ) = - 1`

`m = - 1 / ( - (2)/(3) )`

`m = - 1 * ( - (3)/(2) )`

`m = (3)/(2)`

Thus the slope of the line is 3/2.