Question

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

Answer 1

x intercept `= 3`
y intercept `=4`

Explanation:

The x intercept is the value of `x` at the point where a graph of the equation crosses the x-axis. The x axis is the line along which `y=0`.
Therefore the x intercept is the value of `x` when `y` is set to `0` in the equation.
`color(white)("XXXX")` `4x+3(0) = 12`
`color(white)("XXXX")` `color(white)("XXXX")` `rArr x = 3`

Similarly, the y intercept is the value of `y` at the point where a graph of the equation crosses the y-axis. The y axis is the line along which `x=0`.
Therefore the y intercept is the value of `y` when `x` is set to `0` in the equation.
`color(white)("XXXX")` `4(0)+3y = 12`
`color(white)("XXXX")` `color(white)("XXXX")` `rArr y = 4`