How do you find the slope of a line parallel to #3x`+y=15 #?

1 Answer
Jun 15, 2015

Answer:

#m=-3#

Explanation:

Explicit the equation:

#y=-3x + 15#

Since every parallel line is of the form #y=-3x + q#, we have its slope is always #m=-3#

(To prove this, you might consider an #m# such that #-3x + 15 -mx - q=0# has no solution for every #q!=15#, it is pretty obvious you have to consider the only m such that -3-m=0, or you will have a linear equation which has always a solution)