Question

what is the slope of a line perpendicular to y=-7/4x? a. -4/7 b. 7/4 c. -7/4 d. 4/7

Answer 1

That would be D. 4/7

Answer 2

Answer:

d. $\frac{4}{7}$

Step-by-step explanation:

Let m be slope of perpendicular line.

We are asked to find the slope of line that perpendicular to line $y=-\frac{7}{4}x$.

We know that slope of  perpendicular line to a given line is negative reciprocal of slope of the given line.

This means that product of both slopes equal -1.

$m*-\frac{7}{4}=-1$

$m*-\frac{7}{4}*-\frac{4}{7}=-1*-\frac{4}{7}$

$m=\frac{4}{7}$

Therefore, the slope of perpendicular line is $\frac{4}{7}$.