This video explains how to convert functions from slope-intercept form, and point-slope form, to the standard form of the equation of a line.

The standard form of a line is written as: $Ax + By = C$

where A, B, and C, are constants.

An example would be: $y = 3x + 7$

Would be written as: $3x - y = -7$
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## Video-Lesson Transcript

The standard form of a line is $Ax + By = C$

Where $(x-term) + (y-term) = \#$.

For example: $y = 3x + 7$

Let’s solve to make this look like this $(x-term) + (y-term) = \#$

Let’s get all the terms on one side first by subtracting $3x$ on both sides $y = 3x + 7$ $-3x + y = 3x - 3x + 7$ $-3x + y = 7$

It looks like it but we want the $x$ term to be positive. So we divide both sides by $-1$ $\dfrac{-3x}{-1} + \dfrac{y}{-1} = \dfrac{7}{-1}$ $3x - y = -7$

Let’s solve another one $y - 5 = 2 (x + 7)$ $y - 5 = 2x + 14$

Let’s bring all the variables to one side by subtracting $y$ on both sides. $- 5 = 2x - y + 4$

Then bring all the constant on one side by subtracting $4$ $- 5 - 4 = 2x - y + 4 - 4$ $- 9 = 2x - y$

Let’s just rewrite it $2x - y = -9$

Just to recap it’s just $(x-term) + (y-term) = \#$. 