Question

The graph shows two lines, A and B. A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Line B has a slope of positive 1 and crosses the y axis at 3. How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answer 1

1

Explanation:

2 linear lines may only intersect at one point unless they are parallel. Since the slopes are not parallel (-1 is not equal to 1), they must have one solution.

This solution is (1,4)