Question

How do you find the x and y intercepts of `3x+4y=12`?

Answer 1

x and y intercepts of `3x+4y=12` is 4 and 3

Explanation:

subtitute `y=0` to find x intercepts

when `y=0`

`3x=12`
`x=4`

x intercepts is 4

subtitute `x=0` to find y intercepts

when `x=0`

`4y=12`
`y=3`

y intercepts is 3

Answer 2

x-intercept: `4`
y-intercept: `3`

Explanation:

The x-intercept is the value of `x` when `y=0` (noting that `y=0` is the definition of the X-axis.
`color(white)("XXX")3x+3color(red)(y)=12` when `color(red)(y)=color(red)(0)`

`color(white)("XXX")3x +4 * color(red)(0)=12`

`color(white)("XXX")x=4`

Similarly, the y-intercept is the value of `y` when `x=0` (definition of the Y-axis).
`color(white)("XXX")3color(blue)(x)+4y=12` when `color(blue)(x)=color(blue)(0)`

`color(white)("XXX")3 * color(blue)(0) +4y=12`

`color(white)("XXX")y=3`