Question

What are the x - and y -intercepts of the equation 3x+4y=24?

Answer 1

Given:

The equation is

$3x+4y=24$

To find:

The x- and y-intercepts of the given equation.

Solution:

We have,

$3x+4y=24$

Putting x=0, we get

$3(0)+4y=24$

$0+4y=24$

$y=\dfrac{24}{4}$

$y=6$

Therefore, the y-intercept of the given equation is 6.

Putting y=0, we get

$3x+4(0)=24$

$3x+0=24$

$x=\dfrac{24}{3}$

$x=8$

Therefore, the x-intercept of the given equation is 8.