Find the slope of a line. slope rise run Main Idea/Vocabulary.

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

Algebra Lesson 6-1 Created by Jeff M. Downs Important Vocabulary Terms The slope of a line is the ratio of the vertical rise to the horizontal run between.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–3) Main Idea and Vocabulary Example 1:Real-World Example Example 2:Find Slope Using a Graph.

Splash Screen Chapter 9 Lesson A 2.B 3.C 4.D Solve the inequality –2x ≤ 5. Then check your solution. (over Chapter 8) A. B. C. D.

EXAMPLE 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.

NOTE: To change the image on this slide, select the picture and delete it. Then click the Pictures icon in the placeholder to insert your own image. FINDING.

3.3 Find Slope and Rate of Change Objective: Students will be able to find the slope of a line and interpret slope as a rate of change.

4-1A Rate of Change and the Slope of a Line Using a Graph

Ratios and Proportional Relationships

Writing linear equations given two points /5/13.

Sullivan Algebra and Trigonometry: Section 2.3 Lines Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use.

Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.

Bell Quiz. Objectives Find the slope of a line using the slope formula.

Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.

EXAMPLE 5 Graph real-world functions CABLE A cable company charges new customers $40 for installation and $60 per month for its service. The cost to the.

Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.

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.

x y Straight Line Graphs m gives the gradient of the line and.

03.03 SKM & PP 1 Slope SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 3 Equations and Inequalities in Two Variables; Functions.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Chapter 6 Linear Equations and Their Graphs

MTH 091 Section 13.3 Graphing with x- and y-intercepts Section 13.4 Slope.

Holt McDougal Algebra Rate of Change and Slope 4-3 Rate of Change and Slope Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.

Objective The student will be able to: find the slope of a line given 2 points and a graph.

FINDING THE SLOPE FROM 2 POINTS Day 91. Learning Target: Students can find the slope of a line from 2 given points.

EXAMPLE 1 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) = = = Simplify. Substitute.

Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.

The Slope of a Line 4.4 Objective 1 – Find the slope of a line using two of its points Objective 2 – Interpret slope as a rate of change in real-life situations.

Warm-Up. Slope Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine.

Find slope in real life EXAMPLE 1 Skateboarding A skateboard ramp has a rise of 15 inches and a run of 54 inches. What is its slope ? SOLUTION slope =

Finding the Slope. The Question Given the two point (-3,1) and (3,3) which lie on a line, determine the slope of that line. First, let’s draw the graph,

SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?

Lesson 5-1. The ___________ of a line is a number determined by any two points on the line. It is the ratio of the ___________ (vertical change) over.

3-3 RATE OF CHANGE February Objectives I can determine the rate of change of a line from a graph I can determine the rate of change of a line.

Slopes 8 th Grade Math Presented by Mr. Laws. CCSS Standard 8.F.3 - Interpret the equation y = mx + b as defining a linear function, whose graph is a.

Transparency 4 Click the mouse button or press the Space Bar to display the answers.

5-1 Rate of Change and Slope Hubarth Algebra. Rate of change allows you to see the relationship between two quantities that are changing. If one quantity.

Lesson 3.5 Essential Question: How can you describe the graph of the equation y=mx+b? `Objectives: Finding the slope of a line Finding the slope of a line.

Main Idea and New Vocabulary Example 1: Real-World Example

Objective I can find the slope of a line given 2 points and a graph.

5.3 Slopes of Straight Lines

Graphing Linear Equations in Slope-Intercept Form

Equations of Lines in the Coordinate Plane

Objective- To find the slope of a line given

Slope From a graph 13-2.

Straight Line Equation.

Main Idea and New Vocabulary Example 1: Real-World Example

Writing Linear Functions

Rate of Change and Slope

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Monday, October 18 Slope of a Line

Section 3.3 The Slope of a Line.

Straight Line Equation.

Lesson 8.3 (part 1) Slope.

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Section 4.5 The Slope of a Line Goal: Find the slope of a line.

Straight Line Equation.

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

Main Idea and New Vocabulary Example 1: Find Slopes and y-intercepts

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Presentation transcript:

Find the slope of a line. slope rise run Main Idea/Vocabulary

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? Answer: Example 1

ACCESS RAMPS The access ramp from the sidewalk to the door of an office building rises 14 inches for every horizontal change of 210 inches. What is the slope of the access ramp? A. B. C. D. A B C D Example 1

Find Slope Using a Graph Find the slope of the line. Choose two points on the line. The vertical change is –3 units while the horizontal change is 2 units. Example 2

Find Slope Using a Graph or Answer: Example 2

Find the slope of the line. A. B. C. D. A B C D Example 2

Find Slope Using a Table The points given in the table lie on a line. Find the slope of the line. Then graph the line. +2 +3 Example 3

Find Slope Using a Table Answer: Example 3

The points given in the table lie on a line. Find the slope of the line. Then graph the line. C. D. A B C D Example 3

KC

Find Slope Using Coordinates Find the slope of the line that passes through A(3, 3) and B(2, 0). Definition of slope (x1, y1) = (3, 3), (x2, y2) = (2,0) Simplify. Answer: The slope is 3. Example 4

Find Slope Using Coordinates Check When going from left to right, the graph of the line slants upward. This is correct for positive slope. Example 4

Find the slope of the line that passes through A(4, 3) and B(1, 0). C. 2 D. 5 A B C D Example 4

Find Slope Using Coordinates Find the slope of the line that passes through X(–2, 3) and Y(3, 0). Definition of slope (x1, y1) = (–2, 3), (x2, y2) = (3,0) Simplify. Answer: Example 5

Find Slope Using Coordinates Check When going from left to right, the graph of the line slants downward. This is correct for a negative slope. Example 5

Find the slope of the line that passes through X(–3, 3) and Y(1, 0). B. C. D. A B C D Example 5

Which of the following is a graph of the function y = x – 2? (over Lesson 9-3) Which of the following is a graph of the function y = x – 2? A. B. C. D. A B C D Five Minute Check 1

Which of the following is a graph of the function y = 4x? (over Lesson 9-3) Which of the following is a graph of the function y = 4x? A. B. C. D. A B C D Five Minute Check 2

(over Lesson 9-3) A local repairman charges $20 per visit plus $15 per hour of work. Which choice shows an equation for the repairman’s rates and a graph of the equation? A. B. C. D. A B C D Five Minute Check 3

Which function is graphed in the figure shown? (over Lesson 9-3) Which function is graphed in the figure shown? A. y = x – 1 B. y = 2x – 1 C. y = x D. y = 3x – 3 A B C D Five Minute Check 4

End of Custom Shows