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`

Explanation:

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

`y-y_1=(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=(33-18)/(8-3)(x-3)`

`y-18=(15)/(5)(x-3)`

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

`y-18=3x-9`

`y=3x+9`