Question

The slope of line l is 3/4. Line m is perpendicular to line l.

Answer 1

-4/3

Explanation:

We have given the slope of line . We have to find the slope of perpendicular line.

Since, we know that

Lines are perpendicular if their slopes are negative reciprocals to each other.

Let slope = m₁

Then, slope of perpendicular line is -1/m₁.

Slope = m₁ = 3/4

Slope of perpendicular line = -1/3/4 = -4/3

Answer 2

For this case, we have that by definition, if two lines are perpendicular, the product of their slopes is -1.

That is to say:

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

If line "l" has slope
`m_ {1} = \frac {3} {4}`

Then, the slope of the line perpendicular to it will be:

`m_ {2} = \frac {-1} {\frac {3} {4}}\\m_ {2} = - \frac {4} {3}`

Answer:

`m_ {2} = - \frac {4} {3}`