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Chapter 3: Q. 56 (page 252)

Graph a line using the intercepts.

3x-4y=-12

Short Answer

Expert verified

x-intercept is(-4,0)

y-intercept is(0,3)

Graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

3x-4y=-12

02

Step 2. Finding x-intercept

Plug y=0and solve for x-value

3x-4脳0=-123x-0=-123x=-12x=-123x=-4

So, the x-intercept is(-4,0)

03

Step 3. Finding y-intercept

Plug x=0and find y-value.

3脳0-4y=-120-4y=-12-4y=-12y=-12-4y=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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