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Chapter 4: Q 161. (page 466)

Find the intercepts for3x+y=6

Short Answer

Expert verified

The x-intercept is 2,0

The y-intercept is0,6

Step by step solution

01

Step 1. Definition 

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

02

Step 2. Calculating x-intercept 

To find x-intercept, let y=0

鈬�3x+0=6

鈬�x=2

So, the x-intercept is 2,0

03

Step 3. Calculating y-intercept 

To find y-intercept, let x=0

鈬�30+y=6

role="math" localid="1647341932673" 鈬�y=6

So, the y-intercept is0,6

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Most popular questions from this chapter

In the following exercises, complete the table to find the solutions to each linear equation :

y=3x-1

xy(x,y)
0

2

-1

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸� (鈭�4,1)鈸� (鈭�2,3)鈸� (2,鈭�5)鈸� (鈭�2,5) 鈸�(-3,52)

Find the equation of the line shown in the graph. Write the equation in slope鈥搃ntercept form.

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, plot each point in a rectangular coordinate system.

鈸� (鈭�2,0) 鈸� (鈭�3,0)鈸� (0,0) 鈸� (0,4)鈸� (0,2)
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