Now that the equation is in slope-intercept form, we can identify the slopem and the y-interceptb.y=2x−3⇔y=2x+(-3)
We will plot the y-intercept b=-3, and then use the slope m=2 to plot another point on the line. We will then connect these points with a straight line. This is our boundary line. Since we have a strict inequality, the boundary line will be dashed.
Test a point
To decide which side of the boundary line to shade, we will substitute a test point that is not on this line. If the substitution creates a true statement, we shade the region that includes the test point. Otherwise, we shade the opposite region. Let's use (0,0) as our test point.