1. Distance, Slope, & Linear Equations

2. Distance Formula

3. Distance, Slope, & Linear Equations Distance Formula EXAMPLE : Find the distance between ( 3, 1 ) and ( -2, 4 )

4. Distance, Slope, & Linear Equations Distance Formula EXAMPLE : Find the distance between ( 3, 1 ) and ( -2, 4 ) x1x1 y1y1 x2x2 y2y2

5. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form

6. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 1 : Find the equation of the line with m = -3 thru the point ( - 2, 4 )

7. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 1 : Find the equation of the line with m = -3 thru the point ( - 2, 4 )

8. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 2 : Find the equation of the line with m = -1/2 thru the point ( 0, -3 )

9. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 2 : Find the equation of the line with m = -1/2 thru the point ( 0, -3 )

10. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 3 : What is the slope and y – intercept for

11. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 3 : What is the slope and y – intercept for

12. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 3 : What is the slope and y – intercept for y – intercept, where x = 0

13. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 4 : What is the slope and y – intercept for

14. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 4 : What is the slope and y – intercept for Solve for “y”

15. Distance, Slope, & Linear Equations Point – Slope Form Slope – Intercept Form EXAMPLE # 4 : What is the slope and y – intercept for m b

16. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs

17. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs EXAMPLE : Find the equation of the line parallel to thru ( 2, -1 ).

18. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs EXAMPLE : Find the equation of the line parallel to thru ( 2, -1 ). m ** use point – slope form

19. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs EXAMPLE : Find the equation of the line parallel to thru ( 2, -1 ). m

20. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs EXAMPLE # 2 : Are the given equations parallel, perpendicular, or neither ?

21. Distance, Slope, & Linear Equations Parallel & Perpendicular Lines Parallel lines have the SAME slope m 1 = m 2 Perpendicular lines are reciprocal and opposite signs EXAMPLE # 2 : Are the given equations parallel, perpendicular, or neither ? Perpendicular– Slopes are reciprocal and opposite signs