Question

find the x-intercept and the y-intercept of the graph of the equation. 4x + 6y = 48 the x-intercept is \square. (type an integer.)

Explanation:

Step1: Find x-intercept, set y=0

$4x + 6(0) = 48$

Step2: Simplify and solve for x

$4x = 48 \implies x = \frac{48}{4} = 12$

Step3: Find y-intercept, set x=0

$4(0) + 6y = 48$

Step4: Simplify and solve for y

$6y = 48 \implies y = \frac{48}{6} = 8$

Answer:

The x-intercept is 12.
The y-intercept is 8.