Respuesta :

The slope of a line parallel to this line is -5/4 and the slope of a line perpendicular to this line is 4/5

How to determine the slopes?

The equation is given as:

y = -5/4x + 4

A linear equation is represented as:

y = mx + b

Where m represents the slope.

By comparison, we have:

m = -5/4

Parallel lines have equal slope.

This means that the slope of a line parallel to this line is -5/4

The relationship between the slopes of perpendicular lines is:

Slope 2 = -1/Slope 1

So, we have:

Slope 2 = -1/(-5/4)

This gives

Slope 2 = 4/5

Hence, the slope of a line perpendicular to this line is 4/5

Read more about slopes at:

https://brainly.com/question/3493733

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