SOLUTION: How do you graph and determine the number of solutions in this problem: y=6x+6 & y=3x+6?

Question 1014455: How do you graph and determine the number of solutions in this problem: y=6x+6 & y=3x+6?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
They are two lines in the plane, and they have different slopes, so they will intersect in exactly one point. Use their slope and vertical-axis intercepts to make each graph and then identify the intersection point.

First line has slope 6 and includes (0,6).
Next line has slope 3 and includes (0,6).

You expect to have only their vertical axis intercept as the intersection, because that would be the only single point which two intersecting lines can have; LOOK at their equations! They have the same y-intercept.
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