Question

What is the slope of the line perpendicular to y=-2/3(x+1)

Answer 1

Answer: 3/2

Reason

The given line is in point-slope form

`\text{y} - \text{y}_1 = \text{m}(\text{x} - \text{x}_1)\\\\`

where m is the slope and
`(\text{x}_1,\text{y}_1)\\\\` is a point the line goes through.

In this case the slope is -2/3

Apply the negative reciprocal to get the perpendicular slope.

Flip the fraction and flip the sign to go from -2/3 to 3/2 which is the perpendicular slope.

Any pair of perpendicular slopes multiply to -1 where neither line is vertical nor horizontal. So (-2/3)*(3/2) = -1.