In this lesson you will learn how to graph linear inequalities. Let’s graph the following inequality: 4x + y > 4 First, attach the corresponding equation: 4x + y = 4 Then, isolate y by subtracting 4x on both sides: y = -4x + 4 The slope and y-intercept equation of a line has the following general form: y = mx + b (where m is the slope and b is the y-intercept) In this problem the slope is - 4 and the y-intercept is 4. Next, we have to graph this equation in the coordinate plane by using the slope and the y-intercept. Finally, we can graph the solution of the initial inequality by identifying the correct half plane. Return from Graph Linear Inequalities to Free Math Videos Online or to 8th Grade CTCT Math