# Linear Equations (in Slope-Intercept Form)(KS3, Year 8)

## The Lesson

A linear equation is an equation that represents a line. A linear equation can be written in the form: On a graph, a linear equation looks like a line: ## Interactive Widget

You can use this interactive widget to create a graph of your linear equation. Use the buttons to change the values of the linear equation.
Change the Equation
y
x
y-intercept

## A Real Example of a Linear Equation in Slope-Intercept Form

An example of a linear equation in slope-intercept form is given below: If we compare this equation to y = mx + c, we can find the slope and y-intercept.

## Other Forms of Linear Equations

There are other forms of linear equation.

## Understanding What a Linear Equation Is...

Let's see what parts a linear equation can have: A linear equation can contain:

## ...And What It Isn't

Now let's see what a linear equation cannot have. If you see any of these, it isn't a linear equation. The variables in the linear equation (the y and x) cannot contain:
• Exponents - variables can only appear as x and y, not as x2 or y3
• Roots - variables cannot appear as √x or ∛y
Help Us To Improve Mathematics Monster