Question

Consider the line 7x+6y= 8. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?​

Answer 1

The slope of a line parallel to this line is -7/6, and the slope of a line perpendicular to this line is 6/7.

Explanation:

7x+6y=8

6y=8-7x

6y=-7x+8

y=-7/6x+8/6

y=-7/6x+4/3

Parallel lines have the exact same slopes, but perpendicular lines have negative reciprocal slopes.