Consider the line - 5x+2y=8. Find the equation of the line that is parallel to this line and passes through the point (-5, -3).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, -3).

The parallel equation is y=x-5.

The perpendicular equation is y=x-5.

Step-by-step explanation:

First solve for y.

-5x+2y=8

2y=5x+8

y=x+4

A line is parallel if it has the same slope, but different y-intercepts.

The y-intercept of the given point is -5, so the new slope will be y=x-5

To find a perpendicular line, you find the negative reciprocal of the given slope.

So you find , which is equal to .

The perpendicular equation is y=x-5.