Question

Which line is represented by the function f(x) = 4x- 3

Answer 1

S

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation

`f(x)=4x-3\to m=4,\ b=-3`

y-intercept = -3

Therefore it's the line S

Answer 2

f(x) = 4x - 3 is written in slope intercept form. The general structure is:

y = mx + b

m is the slope (
`(rise)/(run)`)

b is the y-intercept (where the line intersects the y-axis)

In this case the line you are looking for must have a slope of 4 or a rise of 4 and a run of 1, and the y-intercept of (0, -3).

The easiest thing to do when trying to match a graph with the equation is looking at the y-intercept. Below I provided an image where I labeled all the y-intercepts.

As you can see below line S is the only line that intercepts the y-axis at (0, -3). To ensure that line S represents the function f(x) = 4x - 3 we can take the slope. Again, as you can see the rise of this line is 4 and the run is 1 corresponding with the equation!

Line S is representing f(x) = 4x - 3

Hope this helped!

~Just a girl in love with Shawn Mendes