Download presentation

Presentation is loading. Please wait.

Published byTyrell Isabel Modified over 2 years ago

1
Do Now 10/29/09 Copy HW in your planner. Text page 239, #4-32 even In your notebook, answer the following question. There are two skateboard ramps at a skate park. One ramp is 12 ft long and 6 ft tall. The other is 10 ft long and 8 ft tall. Which ramp do you think is steeper? How can you tell?

2
Objective SWBAT find the slope of a line and interpret slope as a rate of change

3
Section 4.4 “Find Slope and Rate of Change” SLOPE- the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on a line. Slope = rise = change in y run change in x run change in x

4
Slope Symbols The slope m of a line passing through two points and is the ratio of the rise change to the run. y x run rise “positive slope”

5
Slope Symbols The slope m of a line passing through two points and is the ratio of the rise change to the run. y x run rise “negative slope”

6
Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (– 4) = = 4 6 2 3 = Simplify. Substitute. Write formula for slope. Find the slope of the line shown.

7
Let (x 1, y 1 ) = (5, 2) = (x 2, y 2 ) = (4, – 1). m = y 2 – y 1 x 2 – x 1 (– 1) – 2 4 – 5 = = – 3 –1 = 3 Simplify. Substitute. Write formula for slope. Find the slope of the line that passes through the points. (5, 2) and (4, –1)

8
XAMPLE 2 Find a negative slope Find the slope of the line shown. m = y 2 – y 1 x 2 – x 1 Let (x 1, y 1 ) = (3, 5) and (x 2, y 2 ) = (6, –1). –1 – 5 6 – 3 = – 6 3 = = –2–2 Write formula for slope. Substitute. Simplify.

9
(0, 6) and (5, –4) m = y 2 – y 1 x 2 – x 1 Let (x 1, y 1 ) = (0, 6) and (x 2, y 2 ) = (5, – 4). – 4 – 6 5 – 0 = Write formula for slope. Substitute. Simplify. 10 5 = – = – 2 Find the slope of the line that passes through the points

10
Find the slope of a horizontal and vertical line Find the slope of the line shown. Let (x 1, y 1 ) = (– 2, 4) and (x 2, y 2 ) = (4, 4). m = y 2 – y 1 x 2 – x 1 4 – 4 4 – (– 2) = 0 6 = = 0 Write formula for slope. Substitute. Simplify. EXAMPLE 4 Find the slope of the line shown. Let (x 1, y 1 ) = (3, 5) and (x 2, y 2 ) = (3, 1). m = y 2 – y 1 x 2 – x 1 Write formula for slope. 1 – 5 3 – 3 = Substitute. Division by zero is undefined. – 4 0 =

11
Identifying Slopes m = y 2 – y 1 x 2 – x 1 Positive slope Negative slope Slope of 0 Undefined

12
Rate of Change rate of change A rate of change compares a change in one quantity to change in another quantity. Example: hourly wage A rate of change describes how pay increases with respect to time spent working.

13
The table shows the cost of using a computer at an Internet cafe for a given amount of time. Find the rate of change in cost with respect to time. Time(hours) 246 Cost (dollars)71421 Rate of change = change in cost change in time 14 –7 4 – 2 = 7 2 = 3.5 = The rate of change in cost is $3.50 per hour.

14
Time(minute) 306090 Distance (miles) 1.534.5 The table shows the distance a person walks for exercise. Find the rate of change in distance with respect to time. Rate of change = change in distance change in time 3 – 1.5 60 – 30 = = 0.05 ANSWER The rate of change in distance is 0.05 mile / minute.

15
Section 4.4 “Slopes of Lines” Section 4.4 “Slopes of Lines” How can you use algebra to describe the slope of a ramp? Complete the “Investigating Algebra Activity” on page 234 in your textbook. Complete the ‘Drawing Conclusions’ questions #1-6.

16
What Did We Learn? Slope Rate of change m = y 2 – y 1 x 2 – x 1 rate of change A rate of change compares a change in one quantity to change in another quantity.

17
Homework Text p. 239, #4-32 evens 24

Similar presentations

OK

Homework Text p. 407, #8-10, 12-30 evens 8) positive; 3/4 8) positive; 3/4 9) negative; -3/4 9) negative; -3/4 10) undefined 10) undefined 12) (0,-1) &

Homework Text p. 407, #8-10, 12-30 evens 8) positive; 3/4 8) positive; 3/4 9) negative; -3/4 9) negative; -3/4 10) undefined 10) undefined 12) (0,-1) &

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Free download ppt on triangles for class 9 Ppt on atrial septal defect repair Ppt on limits and derivatives practice Ppt on power system harmonics books Ppt on effect of global warming on weather we like it or not Convert pdf ppt to ppt online ticket Ppt on area of triangle By appt only movie site Ppt on acute pancreatitis Ppt on mac os x lion