Consider the line 5x + 7y = - 2

What is the slope of line parrallel to this line?

What is the slope of line perpendicular to this line?

The slope of the parallel line should be the same slope as 5x + 7y = - 2

5x + 7y = - 2

7y = - 5x - 2

y = (-5/7) x - (2/7)

slope of the parallel line is (-5/7)

slope of the perpendicular line will be negative and reciprocal to the perpendicular line.

this would be 7/5