Determine the equation of the line that passes through the given points. (if you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(2, 6) and (4, 16)

Let's find the eqn. of this line in slope-intercept form, y = mx + b.
The two constants in the equation we need are the slope m and y-intercept b.

We can find the slope using "rise over run."


We can interpret this slope in its fraction form 5/1 being rise over run as
"If y changes by 5, x changes by 1, and vice versa."

We can use this to find our y-intercept. (the value of y when x = 0)
Take our point (2, 6). We want to subtract 2 from x so that x = 0.
According to our slope, this means subtracting 10 from y.
Our y-intercept would be at (0, -4), with the value we put in our eqn. being -4.

What are the options