Chapter 2: Q24. (page 101)

Find the x-intercept and the y-intercept of the graph of each equation.
$6 x = - 12 y + 48$

Short Answer

Expert verified

The x-intercept is $8$ .

The y-intercept is $4$ .

Step by step solution

– Defining the x-intercept and y-intercept

The x-intercept is the value of x when $y = 0$ .

The y-intercept is the value of y when $x = 0$ .

– Determining the x-intercept

We have:

$6 x = - 12 y + 48$

Putting $y = 0$ :

$\begin{matrix} 6 x = - 12 (0) + 48 \\ 6 x = 48 \\ x = 8 \end{matrix}$

Hence, x-intercept is 8.

– Determining the y-intercept

We have:

$6 x = - 12 y + 48$

Putting $x = 0$ :

$\begin{matrix} 6 (0) = - 12 y + 48 \\ 0 = - 12 y + 48 \\ 12 y = 48 \\ y = 4 \end{matrix}$

Hence, y-intercept is 4.

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Find the x-intercept and the y-intercept of the graph of each equation.
$6 x = - 12 y + 48$

Short Answer

Step by step solution

– Defining the x-intercept and y-intercept

– Determining the x-intercept

– Determining the y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

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Find the x-intercept and the y-intercept of the graph of each equation.6x=-12y+48

Short Answer

Step by step solution

– Defining the x-intercept and y-intercept

– Determining the x-intercept

– Determining the y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the x-intercept and the y-intercept of the graph of each equation.
$6 x = - 12 y + 48$