Question

Solve the following system of equations graphically on the set of axes below.

Answer 1

You need to plot each line and see where they intersect.

Line 1: y = x+2

Plot the y-intercept (0,2) because of the +2 in the equation.

From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.

From that new point, repeat the "up 1, right 1" to plot a third point.

Connect the dots to make your line.

Line 2: y = -1/3 x - 2

Repeat the same process, using the the y-intercept and slope for this line.

Then identify where they intersect.