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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q 162. (page 466)

Find the intercepts for $3 x + y = 9$

Short Answer

Expert verified

The x-intercept is $(3, 0)$

The y-intercept is $(0, 9)$

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 $y = 0$

$\Rightarrow 3 x + 0 = 9$

$\Rightarrow x = 3$

So, the x-intercept is $(3, 0)$

03

Step 3. Calculating y-intercept

To find y-intercept, let $x = 0$

$\Rightarrow 3 (0) + y = 9$

$\Rightarrow y = 9$

So, the y-intercept is $(0, 9)$

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Most popular questions from this chapter

In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.

$387 .$ slope $4$ and $y$ -intercept $(0, 1)$

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

$4 x - y = 8$

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

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Complete the table to find three solutions to this equation:

See all solutions

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