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
4x + 2y + 8 = 0
2y = −4x − 8
y = −2x − 4
This line has a slope of −2 and a y-intercept of −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.
The slope-point form of a linear equation is:
m is the slope of the line, and the point (x1, y1) is a point (in Cartesian coordinates) on the line.