Question

Which of the following is an equation of a line perpendicular to the equation y=-2/4x-4

Answer 1

Final answer is B.
`y=(3)/(2)x+1`

Explanation:

Given equation is
`y=-(2)/(3)x-4`

Now we need to find the equation of the line which is perpendicular to the given line
`y=-(2)/(3)x-4`. from the given choices.

First let's find slope of the given line
`y=-(2)/(3)x-4`.

Compare given line with formula
`y=mx+b`

We get
`m=-(2)/(3)`

We know that slope of the perpendicular line is given by -1/m

Then slope of perpendicular line is
`-(1)/(m)=-(1)/(\left(-(2)/(3)\right))=(3)/(2)`

so the choice which has slope
`m=(3)/(2)` will be the correct choice.

Hence final answer is B.
`y=(3)/(2)x+1`