Question

Graph the following linear inequality:

2x+y>4

Answer 1

y>4-2x. Plot y=4-2x and mark the region less than y.

Answer 2

How do I plot it?
(-2,0) & (0,4)?

Answer 3

@iambatman Can you explain?

Answer 4

@adrynicoleb @SolomonZelman , can you help me please?

Answer 5

1. Isolate y:
y > 4 - 2x

2. Plot y = 4 - 2x as a dotted line on an xy coordinate plane

3. Shade everything above the dotted line

4. Write "2x + y > 4" on your graph

Answer 6

I still don't understand...what points do I need to plot?

Answer 7

y = 4 - 2x is a "line" that you plot. You only need two points to plot a line. It is best to find the x and y intercepts.

To find the x-intercept, let y = 0, then solve for x:
0 = 4 - 2x
2x = 4
x = 4/2
x = 2

So the first point you will plot is (2,0)

To find the y-intercept, let x = 0, then solve for y:
y = 4 - 2(0)
y = 4 - 0
y = 4

So the second point you will plot is (0,4)

After plotting both points draw a dotted line through them.