f(x) = 4x - 3 is written in slope intercept form. The general structure is:
y = mx + b
m is the slope ([tex]\frac{rise}{run}[/tex])
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
