Download presentation

Presentation is loading. Please wait.

Published byKailyn Comfort Modified over 2 years ago

1
MCC85 & MCC86. Students will graph and analyze graphs of linear equations. a. Interpret slope as a rate of change. b. Determine the meaning of the slope and y-intercept in a given situation.

2
Slope is a measure of Steepness.

3
Types of Slope Zero Negative Positive Undefined or No Slope

4
**Slope can be expressed different ways:**

A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right. 4

5
**What are the steps to determine the slope given two points?**

Label your two points (X1,Y1) and (X2, Y2) Write the formula Y2- Y1 X2- X1 3. Substitute 4. Solve

6
**3) Find the slope of the line that goes through the points (-5, 3) and (2, 1).**

7
**Find the slope of the line through the points (3,7) and (5, 19). x1 y1**

m = 19 – 7 5 – 3 m = 12 2 m = 6

8
**Determine the slope given two points.**

1. (-9,0) (5,7) 2. (-4,-3) (0,-3) 3. (6,6) (-5,-2) 4. (7,2) (-8,2) 5. (4,-1) (1,1) 6. (0,0) (-5,-6) 7. (-7,-8) (2,2) 8. (-6,4) (7,0) 9. (13,12) (-10,15) 10. (9,2) (20, -5)

9
**Determining Slope using a graph**

10
**On the piece of graph paper**

Choose any two points on the line. Write down the two points. Label the two points with (X1, Y1) (X2, Y2) Write the formula Substitute Solve

11
**Is there an easier way??? YES!!!**

Slope is how your line changes up/over! Soooooo…. Pick any two points Count the number of spaces you move up. Count the number of spaces you move over. This is your slope! If you move up and to the right, your slope is positive. If you move up and to the left, your slope is negative!

12
**Determine the slope of the line.**

Start with the lower point and count how much you rise and run to get to the other point! rise 3 = = run 6 6 3 Notice the slope is positive AND the line increases! 12

13
**What is the slope of a vertical line?**

The line doesn’t run! All vertical lines have an undefined slope.

14
**What is the slope of a horizontal line?**

The line doesn’t rise! All horizontal lines have a slope of 0.

16
Don’t worry! Pick any two points that are on the line! Your answer will be the same (when you put it in lowest terms) no matter which two points you pick!

17
If given an equation of a line, there are 2 ways to find the slope and y-intercept.

18
**One method is to write the equation in slope-intercept form,**

which is y = mx + b. slope y-intercept

19
**y = 3x + ½ Find the slope and y-intercept of the following equations.**

Similar presentations

OK

WARM-UP Solve each equation for y 1) 2) Determine if the following points are on the line of the equation. Justify your answer. 3) (3, -1) 4) (0, 1)

WARM-UP Solve each equation for y 1) 2) Determine if the following points are on the line of the equation. Justify your answer. 3) (3, -1) 4) (0, 1)

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on javascript events on change Ppt on bharatiya janata party Ppt on special education in india Ppt on business model of dell Ppt on human nutrition and digestion ppt Ppt on new technology free download Ppt on dubai in hindi Ppt on domain and range Maldi ms ppt online Ppt on motivational skills