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Chapter 3: Q. 53 (page 252)

Graph a line using the intercepts.

2x+4y=12

Short Answer

Expert verified

x-intercept is(6,0)

y-intercept is(0,3)

Graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

2x+4y=12

02

Step 2. Finding x-intercept

Plug y=0and find x-value

2x+4脳0=122x+0=122x=12x=122x=6

So, the x-intercept point is(6,0).

03

Step 3. Finding y-intercept 

Plug x=0and find y-value

2脳0+4y=120+4y=124y=12y=124y=3

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

04

Step 4. Sketching the graph of a line

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

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Most popular questions from this chapter

Graph the equation by plotting points .

y=-2x+4

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=2.

Graph the equation y=-53x+4by plotting the points.

Find the intercepts of the graph

.
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