## 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. -
**m**is the slope of the line. It tells you the steepness of the line. -
**(x**is a_{1}, y_{1})**point**on the line.

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

An example of a linear equation in slope-point form is given below: If we compare this equation to**y − y**, we can find the slope and a point on the line.

_{1}= m(x − x_{1})-
The number in front of the brackets is the slope.
y − 2 =The slope is
**2**(x − 1)**2**. Read more about finding the slope from a linear equation in slope-point form -
A point on the line can be found from the numbers being subtracted from
**y**and**x**.y −**2**= 2(x −**1**)**1**is being subtracted from**x**.**1**is the x-coordinate of the point.**2**is being subtracted from**y**.**2**is the y-coordinate of the point. The point on the line is**(1, 2)**. Read more about finding the y-intercept from a linear equation in slope-point form

## Other Forms of Linear Equations

There are other forms of linear equation.-
The
*general*form of a linear equation is:

Read more about the general form of a 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

## Beware

## When Points Have Negative Coordinates

In this lesson, we have said that:-
the number that is
*subtracted*from the**y**gives the y-coordinate of a point. -
the number that is
*subtracted*from the**x**gives the x-coordinate of a point.

*added*to the

**y**or

**x**?

y

Remember, that subtracting a negative number is the same as adding the positive number:
**+ 1**= ...
y

**+ 1**= y**− −1**...**−1**is being subtracted from

**y**, so the y-coordinate is

**−1**. When a number is

*added*to

**y**or

**x**, the coordinate is

*negative*.