Consider the system y=-2x + 7 and y=4x-5. (Do not graph the system in the Gizmo...

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Consider the system y=-2x + 7 and y=4x-5. (Do not graph the system in the Gizmo yet.) These equations are in slope-intercept form, which is y=mx+b, where m is the slope, and b is the y-intercept. Click the table to select EDIT to use the drawing tool. A. Fill in the table to find the y-value of each equation for each given x-value. B. Plot the points for y=-2x-7 on the grid to the right. Draw a line through the points to graph y=-2x + 7. Then plot the points for y=4x-5 and draw a line through the points to graph y = 4x-5. Click the graph to select EDIT to use the drawing tool. C. Graph y = -2x + 7 and y=4x-5 in the Gizmo. Drag the green point to each of the points you plotted on the grid. Click on the graph to select EDIT to use the drawing tool. Do any of these points represent solutions of both equations? D. Mouse over the purple intersection point and plot it on the grid. What are the coordinates of the purple intersection point? (.) E. In the space to the right, substitute the coordinates of the intersection point into each equation and simplify. Is each equation true? Drag the green point to this point to check. F. Which point represents a solution of both equations? (,) G. Do you think there are other (x, y) points that are solutions of this system? Why or why not? Consider the system y=-2x + 7 and y=4x-5. (Do not graph the system in the Gizmo yet.) These equations are in slope-intercept form, which is y=mx+b, where m is the slope, and b is the y-intercept. Click the table to select EDIT to use the drawing tool. A. Fill in the table to find the y-value of each equation for each given x-value. B. Plot the points for y=-2x-7 on the grid to the right. Draw a line through the points to graph y=-2x + 7. Then plot the points for y=4x-5 and draw a line through the points to graph y = 4x-5. Click the graph to select EDIT to use the drawing tool. C. Graph y = -2x + 7 and y=4x-5 in the Gizmo. Drag the green point to each of the points you plotted on the grid. Click on the graph to select EDIT to use the drawing tool. Do any of these points represent solutions of both equations? D. Mouse over the purple intersection point and plot it on the grid. What are the coordinates of the purple intersection point? (.) E. In the space to the right, substitute the coordinates of the intersection point into each equation and simplify. Is each equation true? Drag the green point to this point to check. F. Which point represents a solution of both equations? (,) G. Do you think there are other (x, y) points that are solutions of this system? Why or why not?