Introduction To Slope. Slope is a measure of Steepness.

Slides:

Advertisements

Similar presentations

Chapter 1. Graphs, Functions, & Models

Advertisements

Slope and Rate of Change Equations of Lines

Jeopardy Get the Points Intercept That Slope It’s Standard Understanding Slope Graph It $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Slope Intercept Form & Graphing Definition - Intercepts x-intercept y-intercept BACK The x-intercept of a straight line is the x-coordinate of the point.

Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5.

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)

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

Graphing Linear Equations In Slope-Intercept Form.

Linear Equations in Two Variables

Graphing Linear Equations. Identifying a Linear Equation A linear equation is any equation that can be put in the form... Ax + By = C... where A, B, and.

Linear Equations in Two Variables Digital Lesson.

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

3.2 Graphing Functions and Relations

Cissie Hamlin EDAT 6119, Spring 2010 Slippery Slope EDAT 6119, Spring 2010 Slippery Slope.

Writing the Equation of a Line

Slope-Intercept Form of a Line

1 What you will learn today 1. Review of slope 2. How to determine slope 3. How to graph a linear equation in y = mx + b form 4. Slopes of parallel and.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.

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.

Rewriting an equation in

2.5 Writing Equation of a Line Sept 19, Equations of a Line equation written in the form Ax + By = C where A and B are not both zero Slope-Intercept.

5.1 Equations of Lines Equations of the form ax + by = c are called linear equations in two variables. x y 2 -2 This is the graph of the equation 2x +

Calculate the Slope. What is the slope-intercept form of any linear equation?

Introduction To Slope. Slope is a measure of Steepness.

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.

2.4 Graphing Linear Equation Sept 12, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By =

Graphing Linear Equations

Introduction To Slope. Slope is a measure of Steepness.

SLOPE. What does slope measure? Slope measures the steepness of a line.

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.

Lesson 5-1 Rate of Change and Slope Sept. 8, 2014.

Graphing Lines Section 4.6.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Is it a linear function? no.

Big Idea : -Solve systems of linear equations by graphs.

The Slope of a Line Mathematicians have developed a useful measure of the steepness of a line, called the slope of the line. Slope compares the vertical.

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

Introduction To Slope. Slope is a measure of Steepness.

Warm ups Graph using intercepts: 1. 2x + 3y = 122.4x – 5y = x – y = -44.3x + 4y = -8.

N * Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.

Slope of a Line Thinker See if you can tell me the four types of slope and draw them!

1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.

Ch 5.4 Objective: To rewrite an equation between standard form and slope-intercept form and graph it.

The slope of a line refers to the steepness of a line or how far it leans over. We look at a line from left to right.

Introduction To Slope. Slope is a measure of Steepness.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

Section 3-7 Equations of Lines in the Coordinate Plane Michael Schuetz.

Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x.

 An equation of a line can be written in point-slope form when given the coordinates of one known point on a line and the slope of that line.  The linear.

Slope - a number that describes the steepness & direction of a line Find the slope of the line y = x - 1 x y

Introduction To Slope.

Introduction To Slope.

Introduction To Slope EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have.

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Warm-Up #27 (Monday, 11/9/2015) Given y-2x - 9= 3(x + 6), solve for y.

Introduction To Slope.

7.5 Slope Pg. 497.

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Understanding Slope.

Introduction To Slope.

Introduction To Slope.

Presentation transcript:

Introduction To Slope

Slope is a measure of Steepness.

Types of Slope Positive Negative Zero Undefined or No Slope

Slope is sometimes referred to as the “rate of change” between 2 points.

The letter “m” is used to represent slope. Why?

If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – x 1

The formula may sometimes be written as m =∆y. ∆x What is ∆ ?

Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

(3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = m = ⅔

What if the numerator is 0? What if the denominator is 0?

If given an equation of a line, there are 2 ways to find the slope and y-intercept.

One method is to write the equation in slope-intercept form, which is y = mx + b. slope y-intercept

Find the slope and y-intercept of the following equations. y = 3x + ½ slope= 3 y-intercept = ½

3x + 5y = 10 First, solve the equation for y. 3x + 5y = 10 5y = -3x + 10 y = -3/5 x + 2 m= -3/5b = 2

Another method to find the slope if given an equation of a line is to write the equation in the form Ax + By = C. m = -A/B, b = C/B

Find the slope and y-intercept of the following equations. 8x + 11y = 7 ABC m= -8/11b = 7/11

-6x = 2y + 14 First, rewrite the equation in the form Ax + By = C. -6x - 2y = 14 m= 6/-2 b = 14/-2 m= -3 b = -7

If given the graph of a line, find the slope by using the “triangle” method to find the rise over run.

rise = 4 run = 5 m= rise run m= 4/5

The End