Download presentation

Presentation is loading. Please wait.

1
**Graphs & Linear Equations**

Y y=mx+b X

2
**Graphing Horizontal & Vertical Lines**

This line has a y value of 4 for any x-value. It’s equation is y = 4 (meaning y always equals 4) Y y-axis X x-axis

3
**Graphing Horizontal & Vertical Lines**

This line has a x value of 1 for any y-value. It’s equation is x = 1 (meaning x always equals 1) Y y-axis X x-axis

4
**The Equation of a Vertical Line is X=Constant**

Y y-axis x = 1 X x-axis

5
**The Equation of a Horizontal Line is Y=Constant**

y-axis y = 3 X x-axis

6
**Graph the following lines**

Y = -4 Y = 2 X = 5 X = -5 X = 0 Y = 0

7
Answers x = -5 x = 5 Y y-axis X x-axis

8
Answers Y y-axis y = 2 X x-axis y = -4

9
Answers Y y-axis y = 0 X x-axis x = 0

10
SLOPE = NEGATIVE-DOWN POSITIVE-UP Slope is a measure of STEEPNESS

11
**Think of m for Mountain The Symbol for SLOPE = m NEG. Slope is -m**

POS. Slope is +m Think of m for Mountain

12
**SLOPE = How much does this line rise? How much does it run? (6,4) 4 •**

3 (3,2) 2 • 1 (0,0) 1 2 3 4 5 6 How much does this line rise? How much does it run?

13
**SLOPE = 2 3 2 3 How much does this line rise? How much does it run?**

(6,4) 4 • 3 (3,2) 2 • 1 (0,0) 1 2 3 4 5 6 How much does this line rise? How much does it run? 2 3

14
m=SLOPE = x2y2 (6,4) 4 • x1y1 3 (3,2) 2 • 1 (0,0) 1 2 3 4 5 6

15
**Switch points and calculate slope Make (3,2) (x2,y2) & (6,4) (x1,y1)**

• • (x1,y1)(3,2) (x2,y2)(3,2) • •

16
**Recalculation with points switched**

(x1,y1)(6,4) • (x2,y2)(3,2) • Same slope as before

17
**It doesn’t matter what 2 points you choose on a line the slope must come out the same**

18
**Keeping Track of Signs When Finding The Slope Between 2 Points**

• Be Neat & Careful • Use (PARENTHASES) • Double Check Your Work as you Go • Follow 3 Steps

19
**3 Steps for finding the Slope of a line between 2 Points (3,4)&(-2,6)**

1st Step: Write x1,y1,x2,y2 over numbers 2nd Step: Write Formula and Substitute x1,x2,y1,y2 values. 3rd Step: Calculate & Simplify x1 y1 x2 y2 (3,4) & (-2,6)

20
**Find the Slopes of Lines containing these 2 Points**

1. (1,7) & (5,2) 2. (3,5) & (-2,-8) 3. (-3,-1) & (-5,-9) 4. (4,-2) & (-5,4) 5. (3,6) & (5,-5) 6. (1,-4) & (5,9)

21
ANSWERS 1. (1,7) & (5,2) 2. (3,5) & (-2,-8) 3. (-3,-1) & (-5,-9) 4. (4,-2) & (-5,4) 5. (3,6) & (5,-5) 6. (1,-4) & (5,9)

22
**Solve for y if (9,y) & (-6,3) & m=2/3**

23
**Review Finding the Slopes of Lines Given 2 Points**

1st Step: Write x1,x2,y1,y2 over numbers 2nd Step: Write Formula and Substitute x1,x2,y1,y2 values. 3rd Step: Calculate & Simplify NOTE: Be Neat, Careful, and Precise and Check your work as you go..

24
Negative Slope Is Down the Hill Positive Slope Is Up the Hill NO Slope Vertical Drop ZERO Slope Horizontal

25
NO Slope Vertical Drop ZERO Slope Horizontal

26
**Parallel Lines Have the Same Slope**

5 4 • 3 2 • 1 (0,0) 1 2 3 4 5 6

27
**Perpendicular Lines Have Neg. Reciprocal Slopes**

3 2 1 (0,0) 1 2 3 4 5 6

Similar presentations

OK

4.4 Slope of a Line. Slope – a measure of how steep a line is. Slope is the ratio of the vertical change to the horizontal change of a non- vertical line.

4.4 Slope of a Line. Slope – a measure of how steep a line is. Slope is the ratio of the vertical change to the horizontal change of a non- vertical line.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on computer graphics algorithms Download ppt on diwali Ppt on napoleon and french revolution Ppt on population census 2011 india Ppt on grooming and etiquettes meaning Liquid vapour display ppt online Ppt on information technology companies Ppt on area of a parallelogram worksheet Ppt on energy conservation act 2001 Ppt on acute coronary syndrome