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=(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=(24)/(3)`

`x=8`

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