In the following exercises, graph using the intercepts.

2x-y=-8

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given Information.

The equation is2x-y=-8.

  • Find the intercepts.
  • Make the table for graph.
  • Draw the graph.
02

Step 2. Explanation.

Find the intercept and third point.

To find y-intercept, substitute x=0in the equation.

localid="1647689386801" 2x-y=-820-y=-8-y=-8y=8

To find x-intercept, substitute y=0in the equation.

2x-y=-82x-0=-82x=-8x=-4

To find third point consider x be any number.

Let x=4.

2x-y=-824-y=-88-y=-8-y=-16y=16

The table is as follows,

xyx,y
08localid="1655823439570" 0,8
-40-4,0
4164,16
03

Step 3. Draw the graph.

The graph is as follows,

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