Graph the system of linear equations below on the same set of axes and label the point of intersection with its coordinates.

Step 1: Recall what are x-intercepts and y-intercepts.
The x-intercept is the point at which the graph touches the x-axis. There is no y value on the x-axis and the y-intercept is the point at which the graph touches the y-axis. There is no x value on the y-intercept.
Step 2:
Find the x- and the y-intercepts of a linear equation y = 2 x - 3
Plug in x = 0, in y = 2 x +3 to get y = 3
Plug in y = 0 in y = 2 x + 3 to get x = \frac{-2}{3} = -1.5
Step 3:
Plot the x- and the y-intercepts on the graph and join the points
Step 4: Find the x- and the y-intercepts for the linear equation y = x + 1
Plug in x = 0 to get y = 1
Plug in y = 0 to get x = -1
Step 5 : Plot the x- and the y-intercepts on the graph and join the points
Step 6: Mark the point of intersection
They will meet at (-2,-1)