INTRO

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Going from a linear equation to a line on a graph is like finding a hidden path. To reveal the path, we only need two points, which we can get using the equation.Check out our or explore our and sections to learn more about how to graph linear equations and test your understanding.

Try it out to see for yourself! 😏

$y$

$x$

Line: $y=0$

Starting at $x=0$, where should we move to get on the path?

$(0,$$)$

If we plug in a

horizontal position ($x$-value)

, the equation will tell us what our vertical position ($y$-value)

needs to be in order to get to a point on the path. We like to start with the y-intercept.We can then use the slope or plug in a second

$x$-value

to get another point on the line and reveal the direction in which we need to keep moving to stay on the line.Once we have two points, we can connect the points to reveal the full path of the line.

### The Y-Intercept

The $y$-intercept is the point where the line crosses the y-axis.

We can find the $y$-intercept by plugging in $x=0$. If the equation is in slope-intercept form (

$y$

$=mx+$$b$

), the $y$-value

of the $y$-intercept is equal to $b$.### The Slope

Slope measure the

change in $y$ (rise)

over the change in $x$ (run)

as we move from point to point on a line.If the equation is in slope-intercept form ($y=mx+b$), the slope is equal to $m$.

Check out our lesson to learn more!

Calculator

Lesson

Practice

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CALCULATOR

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## Graphing Linear Equations Calculator

KEY STEPS

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## How to Graph Linear Equations

### Step 1. Find one point on the line.

It’ll be helpful to put the line in slope-intercept form ($y=mx+b$).

We find it easiest to start by finding the y-intercept (where

$x$

$=$ $0$

).### Step 2. Find another point on the line.

We can use the slope or plug in another

$x$-value

to move to another point.### Step 3. Connect the two points.

LESSON

— Graphing Linear Equations

PRACTICE

— Graphing Linear Equations

CONCLUSION

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