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### Course: Algebra (all content) > Unit 3

Lesson 9: Standard form# Standard form review

Review linear standard form and how to use it to solve problems.

## What is the linear standard form?

This is the standard form of linear equations in two variables:

Usually in this form, ${a}$ , ${b}$ , and ${c}$ are all integers.

*Want to learn more about standard form? Check out this video.*

## Finding features and graph from standard equation

When we have a linear equation in standard form, we can find the $x$ - and $y$ -intercepts of the corresponding line. This also allows us to graph it.

Consider, for example, the equation ${2}x+{3}y={12}$ . If we set $x=0$ , we get the equation ${3}y={12}$ , and we can quickly tell that $y=4$ , which means the $y$ -intercept is $(0,4)$ .

In a similar way, we can set $y=0$ to get ${2}x={12}$ and find that the $x$ -intercept is $(6,0)$ . Now we can graph the line:

*Want to try more problems like this? Check out this exercise.*

## Converting to standard form

In some cases (for example when solving systems of equations), we might want to bring an equation written in another form to standard form.

Let's bring the equation $y={\displaystyle \frac{3}{8}}x+5$ to standard form:

*Want to try more problems like this? Check out this exercise.*

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