what do you have to do in order to graph this leniear inequality? y<-1/4x+2
To graph a linear inequality like y < -1/4x + 2, you can follow these steps:
1. Start by graphing the corresponding equation, y = -1/4x + 2. This equation represents the boundary line of the inequality.
2. Begin by plotting the y-intercept, which is the point (0, 2). This point represents where the line intersects the y-axis.
3. To find the x-intercept, set y = 0 and solve for x. In this case, it would be:
0 = -1/4x + 2
-1/4x = -2
x = 8
So the x-intercept is (8, 0). Plot this point on the graph.
4. Draw a straight line that passes through the y-intercept (0, 2) and the x-intercept (8, 0). This line represents the boundary of the inequality.
5. Since the inequality is y < -1/4x + 2, it means that the region below the line is shaded.
To summarize, plot the y-intercept and x-intercept, then draw a line connecting them. Shade the region below the line to represent the inequality.