Respuesta :

carlosego

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

That is to say:

[tex]m_ {1} * m_ {2} = - 1[/tex]

If line "l" has slope [tex]m_ {1} = \frac {3} {4}[/tex]

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

[tex]m_ {2} = \frac {-1} {\frac {3} {4}}\\m_ {2} = - \frac {4} {3}[/tex]

Answer:

[tex]m_ {2} = - \frac {4} {3}[/tex]

zainebamir540

Answer:

-4/3

Step-by-step 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