Question

Please Help
Solve the system by graphing.

y=2x+6

y=-2x-4

Answer 1

The solution is (x, y) = (-2.5, 1). See the attachment for a graph.

Explanation:

This is easily graphed using your graphing calculator, a spreadsheet, graph paper and a pencil, or an on-line graphing program. The lines are in slope-intercept form, so one point to graph can be the y-intercept.

To find x-intercepts, set y to zero and solve for x.

For the first equation, the x-intercept can be found as ...

• 0 = 2x +6
• x = -6/2 = -3

For the second equation, the x-intercept can be found as ...

• 0 = -2x -4
• x = 4/(-2) = -2

With the x- and y-intercepts of each equation, plotting the line is pretty simple. Find those points and draw a line through them. Read the solution from the graph where the lines intersect, at (-2.5, 1).