How do you graph #2x-y

Question

How do you graph #2x-y<-2#?

Isaiah Anthony · Accepted Answer

#y>2x+2# put in slope intercept form
Graph as a regular line
To figure out which side you should shade, plug in the point (0,0) as it's the easiest to test.
#0>2(0) + 2# 
#0>2# not true, so you shade the side of the line that does NOT include (0,0) graph{2x-y<-2 [-10, 10, -5, 5]}

Jameson Allen · Answer

undefined To graph the inequality 2x - y < -2, follow these steps:

1. Begin by graphing the line 2x - y = -2. To do this, first rewrite the equation in slope-intercept form:
   y = 2x + 2
   Plot the y-intercept at (0, 2), and then use the slope of 2 (rise of 2, run of 1) to find additional points. Draw a dashed line through these points, indicating that the line is not part of the solution.

2. Choose a test point not on the line to determine which side of the line to shade. A convenient test point is (0,0).

3. Substitute the coordinates of the test point into the original inequality:
   2(0) - 0 < -2
   0 < -2

4. Since 0 is not less than -2, shade the side of the line that does not contain the test point.

5. The shaded region represents the solution to the inequality.

6. Label the shaded region appropriately to indicate that it is the solution to the inequality.

How do you graph #2x-y&lt;-2#?

How do you graph #2x-y<-2#?