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.

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

Finding the Slope of a Line From Two Points

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.

Slope Supplement 2 Find a slope Graphing with Slope.

© 2007 by S - Squared, Inc. All Rights Reserved.

Slope and Rate of Change Equations of Lines

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

2.2 Slope and Rate of Change Algebra 2 Mrs. Spitz Fall 2009.

Lesson 1-3 Formulas Lesson 1-3: Formulas.

Objective- To find the slope of a line given two points. Graph y = 2x - 3 x y x y y = 2x - 3.

It’s What’s Going On!. Recall y = mx + b is the equation of a line m is the value of the slope of a line (rise over run) b is the y-intercept m = 1 __.

11.6 Slope. Rate of Change – identifies the relationship between two #’s that are changing Slope – a line’s rate of change Slope formula =

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.

Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.

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

3-7 Equations of Lines in the Coordinate Plane

Introduction To Slope. Slope is a measure of Steepness.

Ch 4.1 Slope (rise/run) Objective: To find the slope of a line when given a graph.

Chapter The rise of a line is the difference in y-values (up (+) /down (-)) The run of a line is the difference in x-values (right (+), left.

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.

These lines look pretty different, don't they?

Chapter 6 Linear Equations and Their Graphs

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.

2.2 Slope and Rate of Change, p. 75 x y (x1, y1)(x1, y1) (x2, y2)(x2, y2) run (x2 − x1)(x2 − x1) rise (y2 − y1)(y2 − y1) The Slope of a Line m = y 2 −

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.

EXPLORING Mountains have slopes…. …and so do lines.

8.2 Lines and Their Slope Part 2: Slope. Slope The measure of the “steepness” of a line is called the slope of the line. – Slope is internationally referred.

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

Slope (Finding it from a graph.). Key Idea : Slope of a line is a ratio of change in y (the rise) to the change in x (the run) between any two points.

Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).

Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

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.

Remember: Slope is also expressed as rise/run. Slope Intercept Form Use this form when you know the slope and the y- intercept (where the line crosses.

5.1: Rate of Change and Slope.  Rate of change: Shows the relationship between two VARIABLE quantities.

Finding The Slope of a Line Slopes are commonly associated with mountains.

3.4 Find and use Slope of Lines. Slope Slope is: Rate of change A ratio of rise and run The change in Y over the change in X The m is Y = mX +b.

Rate of Change AKA SLOPE.

Lesson 1-3 Formulas Lesson 1-3: Formulas.

4.4 Slope Formula.

5.3 Slopes of Straight Lines

Calculating Slope From Graphs

WARM UP Determine the constant rate of change and determine if it linear or not?

Equations of Lines in the Coordinate Plane

Objective- To find the slope of a line given

Slope and Graphing.

4:3 Rate of Change and Slope

Rate of Change and Slope

Slope How did we define slope yesterday?

12/1/2018 Lesson 1-3 Formulas Lesson 1-3: Formulas.

Slope = m = rate of change

Rate of Change and Slope

3.6 Parallel Lines in the Coordinate Plane

Lesson 8.3 Finding Slope T/B pp

2.2 Slope and Rate of Change

EXPLORING SLOPE.

Linear Graphing LG2 EXPLORING SLOPE 6/2/2006.

2-3 Slope Slope is “the change in y over the change in x” (vertical over horizontal). rise / run is the ‘m’ in y = mx + b.

Finding the Slope of a Line

Lesson 1-3 Formulas.

7.4 Slope Objectives: To count slope To use slope formula.

Slope is the rate of change of a line.

Graph Each Equation Using the Intercepts

Section 3.3 The Slope of a Line.

Unit 5 Lesson 1 Objective:

Slope or Rates of Change

Rate of change and slope

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

Presentation transcript:

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 the __________ (horizontal change). slope change in y change in x x 1, y 1 x 2, y 2

B. Find the slope of the line that passes through (–3, –4) and (–2, –8). x 1, y 1 x 2, y 2 C. Find the slope of the line that passes through (–3, –4) and (4, –4 ) x 1, y 1 x 2, y 2 IMPORTANT NOTE : A LINE WITH A SLOPE OF ZERO WILL ALWAYS BE A HORIZONTAL LINE.

D.Find the slope of a line that passes through (–2, 4) and (–2, 3) IMPORTANT NOTE #2: IF THE SLOPE HAS A ZERO IN THE DENOMINATOR IT IS AN UNDEFINED SLOPE. THE LINE WILL BE A VERTICAL LINE WHEN GRAPHED.

PRACTICE: Find the slope of the line that passes through the given points.

FINDING THE SLOPE BY GRAPHING: Since slope can be defined as rise/run, count the number of units you have to go UP to get from one point to the next and then the number of units you have to move left or right. Up 3 Right 4

Rise = up 2 Run = left 2 Rise = up 4 Run = right2

PRACTICE: