What Is a Linear Equation (in SlopePoint Form)?
What Is a Linear Equation (in SlopePoint 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.

(x_{1}, y_{1}) is a point on the line.
A Real Example of a Linear Equation in SlopePoint Form
An example of a linear equation in slopepoint form is given below:
If we compare this equation to y − y_{1} = m(x − x_{1}), we can find the slope and a point on the line.

The number in front of the brackets is the slope.
y − 2 = 2(x − 1)
The slope is 2.
Read more about finding the slope from a linear equation in slopepoint 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 xcoordinate of the point.
2 is being subtracted from y. 2 is the ycoordinate of the point.
The point on the line is (1, 2).
Read more about finding the yintercept from a linear equation in slopepoint form
Other Forms of Linear Equations
There are other forms of linear equation.

The general form of a linear equation is:

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