Math / Geometry

QuestionFind the $x$ -intercept and the $y$ -intercept of the graph of the equation. $3 x+4 y=24$
The $x$ -intercept is $\square$ . (Type an integer.)

Studdy Solution

STEP 1

1. The equation of the line is given as $3x + 4y = 24$ .
2. The $x$ -intercept occurs where $y = 0$ .
3. The $y$ -intercept occurs where $x = 0$ .

STEP 2

1. Find the $x$ -intercept by setting $y = 0$ .
2. Find the $y$ -intercept by setting $x = 0$ .

STEP 3

Set $y = 0$ in the equation to find the $x$ -intercept:
$3x + 4(0) = 24$
Simplify the equation:
$3x = 24$
Solve for $x$ :
$x = \frac{24}{3}$ $x = 8$
The $x$ -intercept is $8$ .

STEP 4

Set $x = 0$ in the equation to find the $y$ -intercept:
$3(0) + 4y = 24$
Simplify the equation:
$4y = 24$
Solve for $y$ :
$y = \frac{24}{4}$ $y = 6$
The $y$ -intercept is $6$ .
The $x$ -intercept is $\boxed{8}$ and the $y$ -intercept is $\boxed{6}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms