In the following exercises, graph each equation.

2x+y=6.

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given Information. 

The equation is 2x+y=6.

Find the points.

  • Let x=0,

2x+y=62(0)+y=6y=6

  • Let x=2,

2x+y=62(2)+y=6y=2

  • Let x=-2,

2x+y=62(-2)+y=6y=10

The table is as follows,

2x+y=6
xyx,y
060,6
222,2
-210-2,10
02

Step 2. Draw the graph. 

The graph is as follows,

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