1.1 Lines

1. 1.1 Lines 8/21/2012 Calculus AB Ms. Brewer

2. Vocab/Formulas • Increments: If a particle moves from the point (x1,y1) to the point (x2,y2), the increments in its coordinates are:

3. Vocab/Formulas • Slope: • Traditional Way: Let P1(x1,y1) and P2(x2,y2) be points on a nonvertical line, L. The slope of line L is: • Trig Way: • Vertical Lines: slope is ______________ θ

4. Vocab/Formulas y1 y2 m1 • Parallel Lines: • Perpendicular Lines: • Equations of Lines • Point-Slope: • Slope-Intercept: • General: P.S. Point-Slope is the best equation to use to start! m2 m1 m2

5. Example 1: Find the coordinate increments from (-7, 4) to (-1,6) Example 2: Find the equations for the vertical and horizontal lines through the point (4,-2).

6. Example 3: Write the three different equations for the line through the points (1,2) and (-1,3)

8. Example 5: Write an equation for the line through the point (-2,3) that is (a) parallel to L and (b) perpendicular to L

9. Example 7: Find a line of regression. • Stat • Edit • Put data into L1 and L2 • 2nd Quit • Stat • Calc • #4 LinReg • y=ax + b • a= • b=

10. Assignment Pg. 9 3-48 (by 3’s), 49