Chapter 3: Q. 53 (page 252)

Graph a line using the intercepts.
$2 x + 4 y = 12$

Short Answer

Expert verified

x-intercept is $(6, 0)$

y-intercept is $(0, 3)$

Graph is

Step by step solution

Step 1. Given information

The equation of a line is

$2 x + 4 y = 12$

Step 2. Finding x-intercept

Plug $y = 0$ and find $x -$ value

$2 x + 4 \times 0 = 12 2 x + 0 = 12 2 x = 12 x = \frac{12}{2} x = 6$

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

Step 3. Finding y-intercept

Plug $x = 0$ and find $y -$ value

2 \times 0 + 4 y = 12 0 + 4 y = 12 4 y = 12 y = \frac{12}{4} y = 3

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

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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Graph a line using the intercepts.
$2 x + 4 y = 12$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding x-intercept

Step 3. Finding y-intercept

Step 4. Sketching the graph of a line

One App. One Place for Learning.

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Graph a line using the intercepts.2x+4y=12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding x-intercept

Step 3. Finding y-intercept

Step 4. Sketching the graph of a line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Graph a line using the intercepts.
$2 x + 4 y = 12$