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.

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