Question

Given f(x) is a linear function with slope 3 and y-intercept -5, what is the equation of f(x) in standard form?

Answer 1

The standard form:

`Ax+By=C`

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have m = 3 and b = -5.

Substitute:

`y=3x-5` subtract 3x from both sides

`-3x+y=-5` change the signs

`3x-y=5`