# What Is a Linear Equation (in Slope-Point 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.

• m is the slope of the line. It tells you the steepness of the line.

• (x1, y1) is a 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 − y1 = m(x − x1), we can find the slope and a point on the line.

# Other Forms of Linear Equations

There are other forms of linear equation.

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# 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.

What if a number is added to the y or x?

y + 1 = ...

Remember, that subtracting a negative number is the same as adding the positive number:

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.