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In the following exercises, graph by plotting points.

2x+y=7

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given information

Equation to be plotted is

2x+y=7

It can be rewritten as

y=7-2x

02

Step 2. To find three points whose coordinates are solution to the equation     

Whenx=0

localid="1645013086203" y=7-2×0y=7

Whenx=2

localid="1645013059684" y=7-2×2y=7-4y=3

When x=-2

localid="1645013023422" y=7-2(-2)y=7+4y=11

Now arrange these points in a table

xy(x,y)
07(0,7)
23(2,3)
-211(-2,11)

03

Step 3. Plot these points in a rectangular coordinate system      

points(0,7), (2,3) and (-2,11) are plotted as

04

Step 4. Draw the line through three points and extend the line.    

The line is the graph of the equation

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