Question

Which of the following lines is perpendicular to the line =2/3−4?

A. y =−3/2−4

B. y =3/2+1

C. y =2/3+14

D. y − −2/−12

Answer 1

For this case we must indicate a line perpendicular to:

`y = \frac {2} {3} x-4`

By definition, if two lines are perpendicular, the product of their slopes is -1, that is:

`m_ {1} * m_ {2} = - 1`

If we have that
`m_ {1} = \frac {2} {3}`then:

`m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {\frac {2} {3}}\\m_ {2} = \frac {3 * -1} {2}\\m_ {2} = - \frac {3} {2}`

Thus, a line perpendicular to the given line will have a slope of
`- \frac {3} {2}.`

Then, the correct option is option A.

ANswer:

Option A