Consider the line - 8x-5y = - 7.

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

See below

Step-by-step explanation:

First, you need to find the slope of the given line. You can do this by rearranging the equation so that it is in slope-intercept form (y = mx + b).

-8x - 5y = - 7

-5y = 8x - 7

y = - 8/5x + 7/5

The slope of this line is - 8/5.

The slope of a line that is perpendicular will be the negative reciprocal. You have to change the sign, and basically flip the numerator upside down. The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal. This means that the slope will be - 8/5.