# What is the equation of the line passing through the points #(3,3)# and #(-2, 17)#?

##### 1 Answer

#### Explanation:

For any two points on a straight line (as given by a linear equation)

the ratio of the difference between the **slope**) is always the same.

For the general point

this means that:

the slope

Evaluating the last expression we have that

the slope

and therefore both

We could use either of these to develop our equation; the first one seems easier to me (but feel free to test this with the second version to see that you get the same result).

If

then (assuming

after multiplying both sides by

and therefore (after adding