Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form.
(0, 0), (−2, 9)

Question

Tranquility · Answer

First find the slope of the two points
If the two points are $ (x_1, y_1)$ and $ (x_2,y_2)$ then the slope is

$\Large \text{Slope} =m= \frac{y_2 - y_1 }{x_2 - x_1}$

Once you find the slope, you can put it in to this form
$ y - y_1 = m(x-x_1)$
You can choose either point to plug in to $ (x_1, y_1)$

Once you get that, you just need to rearrange that equation to get it into standard form.

Remember the standard form for a linear equation is
Ax + By = C
and A cannot be negative. Also remember that A, B, and C should all be integers so you might need to multiply it by some coefficient if you get fractions.