Slope (m) • the steepness of a line • the rate of change the ratio of change in the y-coordinates to the change in x-coordinates • the rise over the run • formula
Rate of Change Determine if each function is linear. Ex 1 Ex 2 +1 +1 +1 x y 1 6 2 12 +6 3 18 +6 4 24 +6 +8 +8 +8 x y -10 5 -2 1 6 -4 14 -10 -4 -5 -6
Four Types of Slope • positive • negative • zero • undefined
Rise over Run Find the slope of each line. Ex 3 Ex 4 +2 +4
Rise over Run Find the slope of each line. Ex 5 Ex 6 -2 +3
Undefined vs. Zero Slope • H orizontal Zer O Y = a number • V ertical U ndefined X = a number
Find the slope of each pair of points Ex 7 (6, 4) (3, – 1) Ex 8 (0, – 3) (6, 0) Ex 9 (2, – 3) (2, 3) Ex 10 (1, – 4) (– 2, – 4)
Find the coordinate, given the slope Ex 11 (r, 6) (10, – 3);
Find the coordinate, given the slope Ex 12 (6, 3) (r, 2);
Without graphing, tell whether the slope of the line that models each situation is positive, negative, zero, or undefined. Then find the slope • Ex 13 – The late fee is $2 regardless of the number of days the movie is late • Ex 14 – The contract states that every day past the agreed upon completion date the project is not finished, the price is reduced by $25.