Chapter 4: Q 181. (page 466)

Graph $x + 2 y = 4$ using the intercepts

Short Answer

Expert verified

The $x$ -intercept is $(4, 0)$ .

The $y$ -intercept is $(0, 2)$ .

Graph of function is

Step by step solution

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.

Step 2. Calculating x-intercept

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

$\Rightarrow x + 2 (0) = 4$

$\Rightarrow x = 4$

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

Step 3. Calculating y-intercept

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

$\Rightarrow 0 + 2 y = 4$

$\Rightarrow y = 2$

So, the $y$ -intercept is $(0, 2)$ .

Step 4. Graph of function

The graph of given function using $x$ -intercept and $y$ -intercept is

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Graph $x + 2 y = 4$ using the intercepts

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

Step 4. Graph of function

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x	y	(x,y)
0
2
-1

Graphx+2y=4using the intercepts

Short Answer

Step by step solution

Step 1. Definition

Step 2. Calculating x-intercept

Step 3. Calculating y-intercept

Step 4. Graph of function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Graph $x + 2 y = 4$ using the intercepts