Lesson 3-5: Slope Objectives: Students will: Find the slope of a line from 2 points Find the slope of horizontal and vertical lines Write equations for lines
Slope: Steepness from one point to another Ratio of vertical change, Δy, to horizontal change, Δx. Written as: Find the slope: Example 1: (3, 5) and (-2, 8) Example 2: (-5, 4) and (-1, -9)
Slopes of horizontal and vertical lines Simply evaluate the ratio Horizontal lines: Vertical lines: HO VU
Writing Equations → y = mx + b Steps: 1)Plug in slope and given point 2)Solve for b 3)Write equation filling in numbers for “m” and “b” Example 3: Write an equation for the line through (3, 5) with slope 2