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Chapter 4: Q. 195 (page 466)

In the following exercises, graph using the intercepts.

3x-2y=6.

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given Information.

The equation is 3x-2y=6.

  • 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.

3x-2y=63(0)-2y=6-2y=6y=-3

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

3x-2y=63x-2(0)=63x=6x=2

To find third point consider x be any number.

Letx=4.

role="math" localid="1647519438966" 3x-2y=63(4)-2y=612-2y=6y=3

The table is as follows,

xyx,y
0-30,-3
202,0
434,3
03

Step 3. Draw the graph.

The graph is as follows,

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