Question

You just looked at the graph of this system of equations. Why will the lines never intercept?

y=-x+5
y=-x-3

Answer 1

The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.

Answer 2

Explanation:

The have the same slope, -1, but different y-intercepts. The lines are parallel.