Slope Formula:
m = (yโ - yโ) / (xโ - xโ) = Rise / Run
Angle of Inclination:
ฮธ = arctan(m) in degrees
Percent Grade:
Grade % = m ร 100
Understanding Slope & Line Steepness
In coordinate geometry, the slope of a line describes both its direction (positive for rising, negative for falling) and its steepness. It measures how much the dependent variable y changes for every unit increase in the independent variable x.
Frequently Asked Questions
What does an undefined slope mean?
A vertical line has an undefined slope because the horizontal change (run) is zero, and division by zero is mathematically undefined. Its equation is given by x = constant.