What Is a Linear Equation (in General Form)? (Mathematics Lesson)
What Is a Linear Equation (in General Form)?
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 cannot directly tell any thing about this line from this equation
We can use algebra to convert this equation from general form to slopeintercept form, and then find the slope and yintercept:
4x + 2y + 8 = 0
2y = −4x − 8
y = −2x − 4
This line has a slope of −2 and a yintercept of −4.
Read more about converting a linear equation in general form to slopeintercept form
Read more about finding the slope from a linear equation in general form
Read more about finding the yintercept from a linear equation in general form
Other Forms of Linear Equations
There are other forms of linear equation.

The slopeintercept form of a linear equation is:
m is the slope and c is the yintercept.
Read more about the slopeintercept form of a linear equation

The slopepoint 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.