How do you find the slope parallel to #-5x + y = -3#?

1 Answer
Jun 22, 2015

Answer:

Add #5x# to both sides to get:

#y = 5x + (-3)#

which is slope-intercept form, hence slope is #5#

Any parallel line will have the same slope.

Explanation:

Given #-5x+y = -3#

Add #5x# to both sides to get:

#y = 5x+(-3)#

This is in slope-intercept form, being in the form:

#y = mx + c#

where #m=5# is the slope and #c = -3# is the intercept (the #y# coordinate of the intersection of the line with the #y# axis.

Any line parallel to this will have the same slope, #5# (just a different value of #c#).

Any line perpendicular to it will have slope #-1/m = -1/5#