Write down everything you think aboutremember about the
Write down everything you think about/remember about the following terms: 1. slope 2. rate of change 3. Independent variable 4. Dependent variable
5. 1 rate of change and slope I can find rates of change from tables and I can find the slope given two points.
Change in the dependent variable Rate of change: Change in the independent variable The table shows the distance a band marches over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent? Change in distance Rate of change: Change in dependent = Change in independent 520 -260 2 -1 780 - 520 3 -2 = 260 1 1040 - 780 = 260 1 4 -3 Change in time Is the rate of change in distance with respect to time constant? Rate of change= 260 ft 1 min What does the rate of change represent? Distance marched Time (min) Distance (ft) 1 260 2 520 3 780 4 1040 The distance the band marches per minute.
Slope: Vertical change = rise run Horizontal change = change in y Change in x Find the slope of each line Rise = 1 Slope = 1 2 run 2 Rise = -2 Slope = -2 3 run 3
What is the slope of this line? Slope = - 3 2 1. Find your two points on the line. (start at the point furthest to the left) a. Do you go up or down to get to the next point? a. If up—the slope is positive b. If down—the slope is negative 2. Count how far you go up or down and that is the VERTICAL CHANGE 3. Count how far you go right and that is the HORIZONTAL CHANGE
Slope Formula: The slope of the line passing through point 1, (x 1, y 1), and point 2, (x 2, y 2) is Examples: 1. (1, 7) and (6, 4) (x 1, y 1) (x 2, y 2) 2. (-4, -5) and (5, 6) (x 1, y 1) (x 2, y 2) 3. (-3, 2) and (4, -5) (x 1, y 1) (x 2, y 2) = -3 5 4 7 6 1 6 -5 = 11 5 -4 9 -5 2 4 -3 = -7 = -1 7
homework • Pg 298: 8 -22
Find the slope of each line (-2, 2) (4, 2) (x 1, y 1) (x 2, y 2) (-4, 3) (x 1, y 1) (-4, -2) 2 4 -2 - -2 (x 2, y 2) 0 = =0 6 Slope of a horizontal line = 0 -2 - 3 -5 = = undefined 0 -4 - -4 Slope of a vertical line is undefined.
4 types of slope Positive Slope = Zero Horizontal line Note: the “y-values” are the same Negative Slope = Undefined Vertical line Note: the “x-values” are the same
A babysitter earns $9 for 1 hour and $36 for 4 hours of work. What can you determine about the slope? It is positive and equals 9.
assignment pg 298: 23 -32, 39, 56 -58, 60, 70 -74
- Slides: 11