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

1 Answer
Aug 26, 2017

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]}