Question

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.) (3, 18) and (8, 33)

Answer 1

Finding such an equation is a fundamental skill in Algebra, and I urge you to become proficient in it.  

What I will do is find the slope of this line and then apply it in the point-slope formula for a straight line.
                     33-18
slope is m = --------- = 15/5 = 3
                       8-3

Then the eqn of the line is y-18 = 3(x-3).

You could rewrite this equation in other formats if you so wished.

Answer 2

Answer: The equation of the line is,

$y=3x+9$

Step-by-step explanation:

Since, the equation of a line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ is,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, the equation of the line passes through the points (3, 18) and (8, 33) is,

$y-18=\frac{33-18}{8-3}(x-3)$

$y-18=\frac{15}{5}(x-3)$

$y-18=3(x-3)$

$y-18=3x-9$

$y=3x+9$