Input the equation for the following line. Reduce all fractional answers to lowest terms.

A line that passes midway between and is parallel to both x - y = 6 and x - y = -6.

Question

Input the equation for the following line. Reduce all fractional answers to lowest terms.

A line that passes midway between and is parallel to both x - y = 6 and x - y = -6.

anonymous · Answer

First, put both into slope-intercept form: 
-y=-x+6-->y+x-6 and -y=-x-6-->y=x+6

Parallel lines have the same slope. In this case, the slope is 1, so that is going to be the slope of our third line.

What is midway between -6 and 6? Well, 0.

So plug our slope and vertical (0) into the new equation and we get: y=x

Put that into standard form (because the other equations are) and we get: x-y=0