# How do you write the equation of the line in the form AX+BY=C if (9, -8) and (0, 3)?

##### 1 Answer

Sep 20, 2015

#### Explanation:

Okay, the line passes through these two points, and the equation of a line is usually in the form

Then the point (9, -8) is because:

and the point (0, 3) is because:

We just need to solve for a and b to find the equation of the line.

From the second equation we readily see that

Now substitute this

Rearranging, we have:

so

So the equation of the line is:

Rearranging, we get:

which is in the desired form

where