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

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

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

Step-by-step explanation:

The equation of the given line is expressed as

5x + 8y = - 7

We would rearrange the given equation so that it will take the slope intercept form which is expressed as

y = mx + c

Where

m represents the slope

c represents the y intercept.

Rearranging the equation, it becomes

8y = - 5x - 7

Dividing both sides of the equation by 8, it becomes

y = - 5x/8 - 7/8

The slope of the given line is - 5/8

If two lines are parallel, it means that they have the same slope. Therefore,

The slope of a line parallel to the given line is - 5/8