We've already learned how to identify linear equations, which are shown graphically as straight line graphs. Now we are going to learn how to compare the features of linear equations. Linear equations are often written in slopeintercept form which is handy because it helps us identify the slope and $y$yintercepts of these lines as shown below.
We may also be asked the compare two linear models which involve a scenario.
Let's look through some examples that compare these different features of linear equations.
In which of the following is $y$y increasing faster?
$x$x  $0$0  $1$1  $2$2 

$y$y  $3$3  $10$10  $17$17 
Which of the following has the higher $y$yintercept?
The line with a slope of $4$4 that crosses the $y$yaxis at $\left(0,6\right)$(0,6).
The line given by the equation $y=x+4$y=x+4
Mario wants to determine which of two slowrelease pain medications is more rapidly absorbed by the body.
For the liquid form, the amount of the medication in the bloodstream is presented in the graph below. The results for the capsule form are presented in the table below.
Liquid Medication
Loading Graph... 

Capsule Medication

At what rate, in mg per minute, is the liquid form absorbed?
At what rate, in mg per minute, is the capsule form absorbed?
In which form is the medication absorbed more rapidly?
In liquid form.
In capsule form.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).