7-1 Slope Objectives: Find the slope of a line given the coordinates of two points on the line.

Slides:

Advertisements

Similar presentations

Objective - To find the slope of a line.

Advertisements

3.7 Equations of Lines in the Coordinate Plane

SLOPE Objectives: Find the slope of a line given the coordinates of two points on the line Graph equations using y=mx+b form.

2-3 Slope Slope indicates the steepness of a line.

ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal.

Slope and Rate of Change Equations of Lines

7-1 Slope Objectives: Find the slope of a line given the coordinates of two points on the line.

Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.

Finding the Slopes of Lines Lines and Their Slopes.

4.5 Finding The Slope of a Line What is the meaning of this sign? 1.Icy Road Ahead 2.Steep Road Ahead 3.Curvy Road Ahead 4.Trucks Entering Highway Ahead.

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.

Rate of Change and Slope Monday, November 1, 2010.

5-1 Slope Objectives: 8.EE.5 I can find the rate of change given two ordered pairs S. Calahan 2008.

Slope, Parallel and Perpendicular Lines

Slope describes the slant and direction of a line.

Slopes (or steepness) of lines are seen everywhere.

Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

January 21,  Slope: the ratio of the difference of the vertical distance (rise) to the difference of the horizontal distance (run)  Vertical Change:

3-7 Equations of Lines in the Coordinate Plane

Introduction To Slope. Slope is a measure of Steepness.

LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE.

1.2 Slopes and Intercepts Objectives: Graph a linear equation. Write a linear equation for a given line in the coordinate plane. Standards: K Apply.

M. Pickens 2006 Slope. M. Pickens 2006 What is Slope? Slope is the rate of change of a line (change in y) (change in x)

Drill #57 Write an equation in function notation for the following relations: {(-1, 6), (0, 3), (1,0)} XY XY

These lines look pretty different, don't they?

Chapter 5 – 1 SOL A.6a. Positive Slope Negative Slope Zero Slope Undefined Slope.

Chapter 4 Graphing Graph of a Linear Function. Linear Function Fencing Company:  Fixed Charge for a Chain Link Fence Project $125  The rest of the cost.

The Slope of a Line. Finding Slope of a Line The method for finding the steepness of stairs suggests a way to find the steepness of a line. A line drawn.

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 nonvertical line.

Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.

ALGEBRA READINESS LESSON 8-5 Warm Up Lesson 8-5 Warm-Up.

Example 2 Positive and Negative Slope Find the slope of the line. a. = run rise m = x1x1 x2x2 y1y1 y2y2 – – – – = 4 5 =

Do Now 11/19/09 Take out HW from last night. –Text. page 296, #4-28 multiples of 4, #30-46 every 4 Copy HW in your planner. –Text. page 305, #6, 8, 12,

Warm up: 1.Write a definition: m = Compute the slope of a line through: 2. (2, -4) and (3, 5)  m = 3.(0, 5) and (2, 9)  m = 4.(-8, 1) and (4, 1)  m.

Introduction To Slope. Slope is a measure of Steepness.

Algebra 2 Chapter 2.3 Rate of Change and Slope Target Goals: 1.Find the rate of change of data in a real-life situation. 2.Determine the slope (steepness)

Rate of Change SLOP E AKA. Types of Slopes Negative Slope Lines that have negative slopes “slant downhill” as viewed from left to right.

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.

M. Pickens 2006 Slope. M. Pickens Rate of Change & Slope To learn what slope is To learn what a line looks like when it has positive, negative,

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,

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.

Chapter 3: Functions and Graphs Section 3.6 & 3.8: The Slope of a Line & Equations of a Line.

3.7 Equations of Lines in the Coordinate Plane SOL G3a Objectives: TSW … investigating and calculating slopes of a line given two points on the line. write.

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.

SLOPE LESS 5-1. MATH VOCABULARY Slope: The diagonal “slope” of a line on a graph that runs through given points.

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

Slope of a Line Slope Slope describes the slant or direction of a line.

Reteach Slope/Rate of Change. Slope (m) the steepness of a line the rate of change the ratio of change in the y -coordinates to the change in x -coordinates.

0-6 Writing Equations in Point- Slope Form. Slope Formula y 1 – y 2 x 1 – x 2 Forms of lines Point-slope form: y – y 1 = m (x - x 1 )

3-3 Slope. Slope (m) the steepness of a line the rate of change the ratio of change in the y -coordinates to the change in x -coordinates the rise over.

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.

5.1 Finding Slope.

Finding the slope of a Line

Equations of Lines in the Coordinate Plane

2.4 Linear Functions: Graphs and Slope

slope - describes the steepness of a line

Objective: Find slope by using the slope formula..

Introduction To Slope.

Monday, March 5, 2018 ratio slope dependent independent CCSS 8.EE.5

Lesson 4.4 Objective: To graph a line on a coordinate plane only using the slope and the y-intercept. Essential Question: How can I graph an equation without.

Calculating gradients

Slope is: How steep a line is m Rise over Run All of the above

Rate of change and slope

Linear Equations in Two Variables

Objective: Find slope by using the slope formula..

Slope Graphing Day 2.

Presentation transcript:

7-1 Slope Objectives: Find the slope of a line given the coordinates of two points on the line

Guided questions What is slope? How is slope determined? How can slope be measured given a graph? How can slope be measured given only 2 points? What are the characteristics of an undefined slope? What are the characteristics of a line with 0 slope?

What is Slope? - SLOPE - +SLOPE + +SLOPE + Steepness Amount of Slant

Determining Slope Slope= 1212 Slope=3

Determining Slope Slope= 0 Rise= 0 Run = n

Determining Slope The Slope is UNDEFINED Rise= n Run = 0

Determining Slope (-4, -6) (2, 5) Pick 2 points on the line Find the change in the Y- coordinates by subtracting(rise) Find the change in the X- coordinates by subtracting(run) Write as a ratio ( rise / run )

Determining Slope (x 2, y 2 ) (x 1, y 1 ) In general, to find the slope given two points on a line: Subtract the Y-coordinates (rise) Subtract the X-coordinates (run) Write as a ratio ( rise / run ) Y 2 -Y 1 X 2 -X 1 m = Y 1 -Y 2 X 1 -X 2 =

Slope Summary Slope = 0 Positive Slope Negative Slope Negative slope is a downer Undefined Slope