Lesson 15 Linear Equations The Slope Formula
Warm-Up Draw a line through each pair of points. Draw a slope triangle and find the slope. (1, 3) and (5, 4) (−2, 6) and (1, 0)
Target: Find the slope of a line using the slope formula.
The Slope Formula The formula for the slope of a line that goes through a point with coordinates (x1, y1) and another point with coordinates (x2, y2) is:
Example 1ab Use the slope formula to find the slope of each line that passes through the given points. (3, 2) and (8, 5) (1, −1) and (3, −5)
Example 1c Use the slope formula to find the slope of each line that passes through the given points. (6, −1) and (6, 4) Undefined Slope
Exit Problems Find the slope of each line that passes through the given points. (4, 0) and (7, 9) (9, 2) and (6, 4) (4, −1) and (4, 3)
Communication Prompt You can find slope from: A table by finding rate of change. A graph using a slope triangle. The slope formula. Which way do you prefer to find slope? Why?