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Chapter 3: Q. 54 (page 252)

Graph a line using the intercepts.

3x-2y=6

Short Answer

Expert verified

x-intercept is(2,0)

y-intercept is(0,-3)

Graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

3x-2y=6

02

Step 2. Finding x-intercept

Plug y=0and find x-value.

3x-2脳0=63x-0=63x=6x=63x=2

So, the x-intercept is(2,0)

03

Step 3. Finding y-intercept

Plug x=0and find y-value.

3脳0-2y=60-2y=6-2y=6y=6-2y=-3

So, the y-intercept is (0,-3).

04

Step 4. Sketching the graph of a line

Locate x and y intercepts on the graph and then join them to get the graph of a line.

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