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

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.
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.