How do you write the equation of the line in the form AX+BY=C if (9, -8) and (0, 3)?
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 the equation of the line is:
Rearranging, we get:
which is in the desired form