Related Pages
Linear Equations (in General Form)
(KS3, Year 9)
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:
- y and x are the Cartesian coordinates of points on the line.
- a, b and c are constants. They have no meaning.
A Real Example of a Linear Equation in General Form
An example of a linear equation in general form is given below:In this example, a = 4, b = 2 and c = 8. We can not directly tell anything about this line from this equation. We can use algebra to convert this equation from general form to slope-intercept form, and then find the slope and y-intercept:
4x + 2y + 8 = 0
2y = −4x − 8
y = −2x − 4
Read more about converting a linear equation in general form to slope-intercept form
Read more about finding the slope from a linear equation in general form
Read more about finding the y-intercept from a linear equation in general form
Other Forms of Linear Equations
There are other forms of linear equation.-
The slope-intercept form of a linear equation is:
m is the slope and c is the y-intercept.
Read more about the slope-intercept form of a linear equation -
The slope-point form of a linear equation is:
m is the slope of the line, and the point (x_{1}, y_{1}) is a point (in Cartesian coordinates) on the line.
Read more about the slope-point form of a linear equation
Interactive Widget
You can use this interactive widget to create a graph of a linear equation in the slope-intercept form. Use the buttons to change the values of the linear equation.- Do you disagree with something on this page?
- Did you spot a typo?