what is the following describes a linear function

Question

Which of the following describes a linear function

Answer 1

In general, a linear function is in the shape of a straight line, whether horizontal or diagonal. (Vertical lines are technically not functions.)

 

Linear functions' equations have no exponents, square roots, or absolute values (among other things). Their equations often look something like this:

 

f(x) = 2x + 3

3x + 6y = 7

y - 5 = 1/2(x + 2)

 

Linear functions increase or decrease at a constant rate, so points on a linear function have y-values that increase at the same rate each time the x-value goes up by one. For example, if (1,2) and (2,5) are points of a linear function, (3,8) is as well, since every time x goes up by one, y must go up by 5 - 2 = 3.