Question

Which of the following choices best describes the similarities or differences of the graphs f(x)=2x; f(x)=2x+6 and f(x) = 2x - 10

Answer 1

The slope-intercept form of the equation is noted as:

`f(x)=mx+b`

Where:

m = slope

b = y-intercept

Now looking at the 3 functions, we can see that they all have the same slope, however, they have different y-intercepts.

f(x)=2x

m = 2

b = 0

f(x)=2x+6

m = 2

b = 6

f(x)=2x-10

m = 2

b = -10

The best statement that would describe this would be C. They have the same slope but different intercepts.