Question

100 points!

The slope of a line is - 1/3 . Find the slope of a line that is perpendicular to this line.

-3
1/3
3

Answer 1

3

Explanation:

The equation of a perpendicular line to m = -
`(x)/(3)` must have a slope that is the negative reciprocal of the original slope.

m perpendicular = -
`(1)/((-1)/(3) )`

Simplify the result.

m perpendicular = 3

Answer 2

The answer is:

3

Work/explanation:

If two lines are perpendicular to each other, their slopes will be negative inverses.

The slope of the given line is
`\sf{-(1)/(3)}`.

The negative inverse of that is 3; so I changed the sign from negative to positive, and flipped the number.

Hence, the slope is 3.