Question

The line is parallel to

Answer 1

Recall that parallel lines have the same slope.

A line parallel to y= (-3/5)x + 8 would have the same equation EXCEPT for a different constant, C, replacing that '8.'

This new line passes thru (-5,-3).  In y= (-3/5)x + C, replace x with -5 and replace y with -3.  Then:

-3 = (-3/5)(-5) + C.  Find C:

-3 = 3 + C.  Thus, C = 6

Thus, the equation of the new line is y= -(3/5)x - 6

Check:  Let x = -5 and y = -3.  Is the above equation true?

-3 = (-3/5)(-5) - 6

-3 = 3 - 6, or -3 = -3.