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Page 1: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph
Page 2: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Main Idea and New Vocabulary

NGSSS

Example 1: Real-World Example

Example 2: Find Slope Using a Graph or Table

Example 3: Find Slope Using a Graph or Table

Key Concept: Slope Formula

Example 4: Find Slope Using Coordinates

Example 5: Find Slope Using Coordinates

Five-Minute Check

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Page 3: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

• Find the slope of a line.

• slope

• rise

• run

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Page 4: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem.

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Page 5: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

ACCESS RAMPS The access ramp from the sidewalk to the door of a hotel rises 8 inches for every horizontal change of 96 inches. What is the slope of the access ramp?

Definition of slope

rise = 8 in., run = 96 in.

Simplify.

Answer: The slope of the ramp is .

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Page 6: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

SKATEBOARDING A skateboard hill falls 10 inchesfor every horizontal change of 14 inches. What isthe slope of the hill?

A.

B.

C.

D.

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Page 7: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

PHOTOGRAPHY The graph shows the position of a photograph leaning against a wall. Find the slope of the line.

Find Slope Using a Graph or Table

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Page 8: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Choose two points on the line. The vertical change is –3 units and the horizontal change is 1 unit.

Definition of slope

Find Slope Using a Graph or Table

rise = –3, run = 1

Answer: The slope of the line is or –3.

or –

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Page 9: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

ELEPHANTS The graph shows the bales of hay that an elephant at a zoo eats each week. Find the slope of the line.

A. 1

B.

C. 30

D. 40

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Page 10: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find Slope Using a Graph or Table

PAINTING The table shows the number of gallons of paint Mrs. Brown used to paint the number of rooms. Find the slope of the line. Then graph it.

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Page 11: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Choose two points from the table to find the changes in the x- and y-values.

Find Slope Using a Graph or Table

Answer: The slope is .

Definition of slope

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Page 12: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

HUMMINGBIRDS The table shows the number of hummingbird feeders and the amount of nectar used to fill the feeders. Find the slope of the line. Then graph it.

A. C.

B. D.

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Page 13: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph
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Page 14: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through A(3, 3) and B(2, 0).

Find Slope Using Coordinates

Slope formula

(x1, y1) = (3, 3)

(x2, y2) = (2, 0)

Simplify.or 3

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Page 15: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Check When going from left to right, the graph of the line slants upward. This is correct for positive slope.

Find Slope Using Coordinates

Answer: The slope is 3.

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Page 16: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through L(4, –1) and M(0, 5).

A.

B. –1

C.

D.

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Page 17: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find Slope Using Coordinates

Find the slope of the line that passes through X(−2, 3) and Y(3, 0).

Slope formula

(x1, y1) = (–2, 3)

(x2, y2) = (3, 0)

Simplify.

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Page 18: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Check When going from left to right, the graph of the line slants downward. This is correct for negative slope.

Find Slope Using Coordinates

Answer: The slope is

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Page 19: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through R(1, 8) and S(–2, 2).

A. –2

B.

C.

D. 2

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Page 20: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through A(0, 0) and B(4, 3).

A.

B.

C.

D.

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Page 21: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through M(–3, 2) and N(7, –5).

A.

B.

C.

D.

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Page 22: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes through P(–6, –9) and Q(2, 7).

A. –2

B.

C.

D. 2

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Page 23: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Find the slope of the line that passes throughK(6, –3) and L(16, –4).

A. –10

B.

C.

D. 10

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Page 24: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Do the following points form a parallelogram when they are connected? Explain. A(5, 4), B(10, 4), C(5, −1), D(0, 0)(Hint: Two lines that are parallel have the same slope.)

A. Yes; the slopes of and are equal.

B. Yes; the slopes of and are equal.

C. Yes; the slopes of the opposite sides are equal.

D. No; the slope of is 0, but the slope of

is

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Page 25: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

What is the slope of the graph?

A. 3

B.

C.

D. −3

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Page 26: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph
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Page 27: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Real-World Example Example 2:Find Slope Using a Graph or Table Example 3:Find Slope Using a Graph

Hands-on Activity: Competition Time Matching: Slope-Intercept Form & GraphMatching: Slope-Intercept Form & Graph

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Lesson 3 Contents Example 1Write an Equation Given Slope and y-Intercept Example 2Write an Equation Given Two Points Example 3Graph an Equation in Slope-Intercept

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Velocity: Plotting Position and Time · Instantaneous Velocity: the slope of tangentline at any pointon a position-time graph Example: What is the instantaneous velocity:!=2 mand

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Math and Science Resource Center - odu.edu · Math and Science Resource Center . ... 3 Linear Functions and Slope Intercept Form Using Slope Intercept to Graph ... Topic: Using Slope

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Chapter 4 4.6 Slope Intercept Form. Objectives Write a linear equation in slope-intercept form. Graph a line using slope-intercept form

Finding Slope Given a Table or a Graph - College Board · Finding Slope Given a Table or a Graph The slope of a line is determined by the ratio changein y changein x between any two

Click Once to Begin JEOPARDY! 100 200 300 400 GRAPH with table GRAPH hor/vert GRAPH y=kx FIND SLOPE graph FIND SLOPE points Word Problems

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Lines with Zero Slope and Undefined Slope Example Use slope-intercept form to graph f (x) = 2 Solution Writing in slope-intercept form: f (x) = 0 x +

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Concept. Example 1 Slope and y-intercept Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line

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February 22, 2012 1.What does the slope of a Position vs. Time graph tell us? 2.What does the slope of a Velocity vs. Time graph tell us?

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An example graph visualization with Processing.js

Finding Slope From a Graph - Math Teacher Philmathteacherphil.com/pdf/LinearEquationsandSystems_PacketA.pdf · Finding Slope From a Graph Find the slope of each line. x y 2) x y 3)