Slope and Equations of a Line

How to describe the steepness of a line, and write its equation in different forms.

Slope of a Line

The slope measures the steepness of a line:

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

Forms of the Equation of a Line

FormEquation
Slope-Intercept$y = mx + c$
Point-Slope$y - y_1 = m(x - x_1)$
Two-Point$\dfrac{y-y_1}{y_2-y_1} = \dfrac{x-x_1}{x_2-x_1}$
Lesson 16 of 27
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