Question

Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x)

Answer 1

Presenting the table vertically makes it easier to read:

X F(x)

-1 -5

0 -1

1 3

I see that if x increases by 1 from 0 to 1, y increases by 4 from -1 to 3. Thus, the slope of the line represented by the table is:

4

m = -------------- = 4/1 = 4

1

So, our two lines have the same slope: 4.

g(x) = 4x + 3; f(x) = 4x - 1

but they have different y-intercepts. Thus, the 2 lines are parallel and never cross one another.