The blue line is the graph of y = –4x + 5. Use the sliders to make the orange line represent y = –2x + 3. Examine the graph. What is the solution of the system of these two equations?

A solution to the system is the point where the two lines have the same x- and y-values. Set the equations equal: −4x + 5 = −2x + 3, which gives x = 1; substituting x = 1 gives y = 1. The lines intersect at (1, 1), choice B.

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