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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 177. (page 466)

Find the intercepts for $y = - 4 x$

Short Answer

Expert verified

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

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

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 $y = 0$

$\Rightarrow 0 = - 4 x$

localid="1647697340294" $\Rightarrow x = 0$

So, the $x$ -intercept is localid="1647697346887" $(0, 0)$ .

03

Step 3. Calculating y-intercept

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

$\Rightarrow y = - 4 (0)$

$\Rightarrow y = 0$

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

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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 :

$y = 3 x - 1$

x	y	(x,y)
0
2
-1

Name the ordered pair of each point shown in the rectangular coordinate system.

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

$5 x - y = 10$

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

$386 .$ slope $3$ and $y$ -intercept $(0, 5)$

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

(a) $(- 3, 0)$ (b) $(0, 5)$ (c) $(0, - 2)$ (d) $(2, 0)$ (e) $(0, 0)$

See all solutions

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