# Linear Equations Song

## Math Songs

A linear equation makes up a straight line

On these coordinates when graphing

First, we’ll start with the Standard Form

Ax + By = C

A, B and C are coefficients, x and y variables

Or points on the graph that are plotted

For example 3x + y = 3

Do you know how to solve it?

HOW?

First, solve for y by putting 0 for x

3 x 0 is 0 so y = 3

your first intercept point is (0,3)

On to Step 2 of solving

Solve for X by putting 0 for Y

X = 1 (1,0) is your next intercept place

Then graph your two points and draw a straight line

And your line is looking great

Equation

The Standard Form of the equation

To linearly draw a line straight, when you’re graphing

Ax + By = C

Equation

The Standard Form of the equation

To linearly draw a line straight, when you’re graphing

Ax + By = C

There’s another way linear equations can be written

Slope-Intercept form is worthy

This equation is helpful when you know the slope and y-intercept,

y = mx + b

Where m is the slope and b is the y-intercept

X and y variables, they would become

Slope is the change in y divided by change in x

Or just remember “rise over run”

Let’s try a sample equation

Graph y = 1/2x – 2

y-intercept is – 2

slope is ½, up 1 over 2

Now that you know the slope and intercept

Draw a straight line through both the points you’ve plotted

And great now you’re finished

You’ve graphed a linear equation

Equation

Slope-Intercept Form of the equation

To linearly draw a line straight, when you’re graphing

y = mx + b

Equation

Slope-Intercept Form of the equation

To linearly draw a line straight, when you’re graphing

y = mx + b

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