Introduction Introduction Graphing Linear Equations

INTRO
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.
Try it out to see for yourself! 😏
Line:
Starting at , where should we move to get on the path?
If we plug in a
horizontal position (-value)
, the equation will tell us what our
vertical position (-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
-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 -intercept is the point where the line crosses the y-axis.
We can find the -intercept by plugging in . If the equation is in slope-intercept form (
), the
-value
of the -intercept is equal to
.

The Slope

Slope measure the
change in (rise)
over the
change in (run)
as we move from point to point on a line.
If the equation is in slope-intercept form (), the slope is equal to .
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Calculator
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Lesson
and
Practice

CALCULATOR

KEY STEPS

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

Step 2. Find another point on the line.

We can use the slope or plug in another
-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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