How do you calculate slope from two points?

Slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), also known as 'rise over run'. Enter the coordinates of two points and this calculator will compute the slope instantly.

What is slope-intercept form?

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). This form makes it easy to graph a line and understand its behavior.

How do parallel and perpendicular slopes relate?

Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other - their product equals -1. For example, if one line has slope 2, a perpendicular line has slope -1/2.

What does the angle of inclination mean?

The angle of inclination is the angle a line makes with the positive x-axis, measured counterclockwise. It ranges from 0 to 180 degrees. A horizontal line has 0 degrees, and slope = tan(angle).

Slope Calculator | Galick Tools

Two Points Mode

Point 1 (x1, y1)

Point 2 (x2, y2)

Enter two points to calculate the slope of the line passing through them

Known Point (x, y)

Slope (m)

Enter a point and slope to get the line equation

Slope (m) Y-intercept (b)

Enter slope and y-intercept for y = mx + b form

Original Slope (m)

Enter the slope of the original line

Through Point (optional)

Optional: specify a point for the parallel/perpendicular lines to pass through

Invalid input: Please check your values.

Slope

Slope (m) --

As Fraction --

Type --

Rise & Run

Rise (delta y) --

Run (delta x) --

Angle --

Line Equation

Y-intercept (b) --

X-intercept --

Related Slopes

Parallel --

Perpendicular --

Line Equation y = mx + b

Parallel Line --

Perpendicular Line --

Slope Formulas Reference

Slope from Two Points

m = (y2 - y1) / (x2 - x1)

Rise over run - the change in y divided by the change in x

Slope-Intercept Form

y = mx + b

m is the slope, b is the y-intercept

Point-Slope Form

y - y1 = m(x - x1)

Given a point (x1, y1) and slope m

Parallel Lines

m1 = m2

Parallel lines have the same slope

Perpendicular Lines

m1 * m2 = -1

Perpendicular slopes are negative reciprocals

Angle of Inclination

theta = arctan(m)

The angle the line makes with the positive x-axis