Point-Slope Form Calculator

Easily find the point-slope equation of a line given a point and a slope.

Enter Point and Slope

X-coordinate (x1):

Y-coordinate (y1):

Slope (m):

Point-Slope Form Equation

Equation:

Understanding Point-Slope Form

The point-slope form is a way to write the equation of a line using the coordinates of a point on the line and the slope of the line. The formula for the point-slope form is:

$$y - y_1 = m(x - x_1)$$

Where:

(x1, y1) is a known point on the line.
m is the slope of the line.
x and y are the variables representing any point on the line.

This form is particularly useful because it directly uses the slope and a point on the line to define the equation, making it intuitive for understanding and constructing linear equations. For example, if you know a line passes through the point (2, 3) and has a slope of 2, you can easily write its equation in point-slope form as y - 3 = 2(x - 2).