Question

The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3

Answer 1

The slope perpendicular to 2/3, would be -3/2

Answer 2

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

`m1*m2=-1`

In this problem we have

`m1=(2)/(3)`

Substitute in the formula and solve for m2

`(2)/(3)*m2=-1`

`m2=-(3)/(2)`

therefore

the answer is

The slope is equal to
`-(3)/(2)`