**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 = **−2**x **− 4**

**−2**and a y-intercept of

**−4**.

converting a linear equation in general form to slope-intercept form

finding the slope from a linear equation in general form

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-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**is a point (in Cartesian coordinates) on the line._{1}, y_{1})

the slope-point form of a linear equation

## Interactive Widget

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linear equationsfinding the y-intercept from a linear equation in slope-point formfinding the slope from a linear equation in general formfinding the y-intercept from a linear equation in general form

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