Question

Below, the function f(x) =3x-2 f(x)=3x-2 and the function f(x)= 3x+1f(x)=3x+1 are graphed. Compare and contrast the lines. What is similar about the equations and graphs? What is different?

Answer 1

You have the lines associated to the following functions:

f(x) = 3x - 2

f(x) = 3x + 1

The general equation of a line is given by:

y = mx + b

where m is the slope and b the y-intercept.

By comparing the given functions with the general form, you can notice that the slope of the lines are equal (m = 3) and the y-intercept are different, b=-2 and

b = 1.

Due to the slopes are the same you have two parallel lines.