Question

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

Answer 1

y intercept `=4`
x intercept `= -16/3`

Explanation:

The y-intercept is the value of `y` when `x=0`
`color(white)("XXXX")`Setting `x=0` in the given equation:
`color(white)("XXXX")` `color(white)("XXXX")` `y = 3/4(0) + 4`

`color(white)("XXXX")` `color(white)("XXXX")` `y = 4`

The x-intercept is the value of `x` when `y =0`
`color(white)("XXXX")`Re-writing `y = 3/4x+4` as an expression for `x` in terms of `y`
`color(white)("XXXX")` `color(white)("XXXX")` `x = 4/3(y-4)`

`color(white)("XXXX")`Setting `y=0`
`color(white)("XXXX")` `color(white)("XXXX")` `x = 4/3(0-4)`

`color(white)("XXXX")` `color(white)("XXXX")` `x = -16/3`