What Is a Linear Equation (in Slope-Point Form)?

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:

y minus y 1 equals m (x minus x 1)

On a graph, a linear equation looks like a line:

line on a graph
  • 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:

y minus 2 equals 2 (x minus 1)

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.

See Also

What is a linear equation? What is the slope? What is the y-intercept? Finding the slope from a linear equation in slope-point form Finding the y-intercept from a linear equation in slope-point form