Slope Calculator
Calculate slope, distance, midpoint and line equation between two coordinate points
Point 1
Point 2
Enter two coordinate points above to calculate slope and line properties.
Formulas
Slope (m)
m = (y₂ − y₁) / (x₂ − x₁)
Line Equation
y = mx + b
Distance
d = √[(x₂−x₁)² + (y₂−y₁)²]
Midpoint
M = ((x₁+x₂)/2 , (y₁+y₂)/2)
Frequently asked questions
What does it mean when slope is undefined?
The slope is undefined when the two x-coordinates are equal (x₁ = x₂), meaning the line is perfectly vertical. A vertical line has no defined slope because division by zero (x₂ − x₁ = 0) is undefined in mathematics.
What is slope-intercept form?
Slope-intercept form is y = mx + b, where m is the slope (rate of change) and b is the y-intercept (the value of y when x = 0). This form makes it easy to graph a line and understand how steep it is.
How is the distance formula related to the Pythagorean theorem?
The distance formula d = √[(x₂−x₁)² + (y₂−y₁)²] is the Pythagorean theorem applied to coordinate geometry. The horizontal difference (x₂−x₁) and vertical difference (y₂−y₁) form the two legs of a right triangle, and d is the hypotenuse.