Sec 4.5: Slope Formula

Objectives To learn what slope is To learn how to find the slope given 2 point To learn how to find the slope of a table

Concept: What is Slope? Slope is the rate of change of a line. It represents the steepness of a line. (change in y) (change in x)

Concept: Using Slope Formula 1. (9, 2), (8, -7) X1 y1 X2 y2 2. (-4, 4), (-7, 2) y1 X2 X1 y2 3. (5, -1), (9, -4) X1 y1 y2 X2

Concept: Using Slope Formula cont… 4. (5, 2), (1, 0) X1 y1 X2 y2 5. (3, -3), (3, -1) y1 X2 X1 y2 Undefined 6. (-4, -2), (4, -2) X1 y1 y2 X2

Concept: Slope From a Table In a table we can use the same formula. Pick any two pairs in the table for coordinates Pick any two rows. If it is linear it will be the same no matter which two rows you pick x y -4 -17 1 -2 3 4 8 19 10 25 x1 y1 x2 y2

Concept: Slope From a Table cont.. Find the slope for each table below x y -10 17 -5 10 -1 4.4 5 -4 -11 x y -3 -8 -1 1 4

Conclusion Slope is: Describe the slope of each of the following the rate of change of a line Negative slope Undefined Positive slope Zero/0 slope