Question

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

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

Answer 1

Explanation:

7x + 8y = -5

8y = -7x - 5

Divide the whole equation by 8

`(8y)/(8)=(-7x)/(8)-(5)/(8)\\\\y =(-7)/(8)x-(5)/(8)`

Parallel lines have same slope

Slope of the parallel line = (-7/8)

Slope of the line perpendicular to this line = -1/m = -1 ÷ (-7/8)

`= (-1)*(8)/(-7)\\\\= (8)/(7)`