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?

Question

asked Sep 2, 2022 113k views

1 Answer

Vinay Rathod · Answer 1 · 2022-09-06T12:03:38+0000

Answer:

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)

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