What is the equation for the line that goes through #(2,14)# and parallel to #y=-1/2x+2#?

1 Answer
Nov 20, 2016

#y=-1/2x+15#

Explanation:

Two lines being parallel means that they have the same slope. Therefore, the slopes must both be #-1/2#.

When a line goes through a point, it has a certain x and y coordinate.

That means that you can solve for b (remember, the general equation of a line is #y=mx+b#) by plugging x and y into the equation.

Given point #(2,14) and m= -1/2#
#(14)=-1/2*(2)+b#
#14=-1+b#
#b=15#

So, the equation of the parallel line is #y=-1/2x+15#