Question

5. What is the slope of a line that is perpendicular to the line represented by the equation 3x + 4y = 12?

314
43
4
314

Answer 1

Answer:
`(4)/(3)`

Explanation:

Before we find the slope of the perpendicular line, we have to find the slope of the given line. To do so, we want to change our equation into y=mx+b form.

`3x+4y=12` [subtract both sides by 3x]

`4y=-3x+12` [divide both sides by 4]

`y=-(3)/(4) x+3`

There are 2 things we have to do to find the slope of the perpendicular line. We have to find the reciprocal and change the sign.

`-(4)/(3)` [reciprocal]

`(4)/(3)` [change the sign]

Therefore, the slope of the perpendicular line is
`(4)/(3)`.