What is the slope of a line perpendicular to y=-x?

Question

asked Mar 7, 2022 229k views

2 Answers

Danila Polevshchikov · Answer 1 · 2022-03-08T02:19:09+0000

Answer:

C.

Step-by-step explanation:

The slope of the given line is -7/4

Let the slope we want be m :

Then m * -7/4 = -1 ( as the slopes of perpendicular lines have a product of -1)

m = -1 / -7/4

= 1 * 4/7

= 4/7.

Alexander Shtang · Answer 2 · 2022-03-12T03:48:39+0000

Step-by-step explanation:

The given equation is in the form y = mx+b with slope m = -7/4

Take the negative reciprocal of this to get 4/7. We simply flip the fraction and the sign (from negative to positive).

Note that multiplying any original slope with its perpendicular counterpart, will always get you -1

(-7/4)*(4/7) = -1

This applies to lines that are not vertical and not horizontal.