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

$3x-y=5$