In this math 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.