Question

Y = 3x − 8

y = 9x − 11

Part A: Using your own words, explain how to solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.

Part B: What is the solution to the pair of equations?

Answer 1

A. You would first plot the y intercept. The first equation would be (0,-8) and the second equation is (0,-11). Then you would plot the slope. For the first equation, from (0,-8), you would move up 3 plots and right 1 plot. For the second equation, from (0,-11), you would move up 9 plots and right 1 plot.

B. The solution to the pair of inequalities is (1/2, -13/2). That is the intersection and point of the two lines. You would need to graph the two lines (see part A answer) and then find the intersection.

Hope this helps!