Question

How do you determine whether each equation is a linear equation: `5x=y-4`?

Answer 1

Look at the `x` terms and if they are all 1 set of `x` (no `x^2` or anything) then it's linear.

Explanation:

A linear equation will give only one value of `x` for every value of y. Quadratics or polynomials will more than one power on the `x` eg. `x^4` ) They graph as a wiggly line or a curve.

Linear graphs are straight. Your equation, `5x=y-4` or `y=5x+4` will be a straight line with a gradient (slope) of 5 and a y-intercept of 4 (where the line cuts through the y axis).

graph{y=5x+4 [-22.49, 22.51, -11.26, 11.25]}