Finding Slope and Rate of Change

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.

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)

Bellringer WE WILL LEARN USE TABLES ALWAYS!!! XY INDEPENDENT DOMAIN INPUT.

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.

3-7 Equations of Lines in the Coordinate Plane

Linear Equations in Two Variables

Functions and Their Graphs 1.1 Lines in the Plane.

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.

WRITE LINEAR EQUATIONS IN SLOPE- INTERCEPT FORM December 2, 2013 Pages

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.

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

Slope Intercept Form Section 5-4.

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.

1.2 Slopes and Intercepts equation for a given line in the coordinate

Graphing Linear Equations

Ex 2: Graph the line with slope 5/2 that passes through (-1, -3)

Slope-Intercept and Standard Form of a Linear Equation.

Slope Slope is the steepness of a straight line..

Graphing Linear Equations

ALGEBRA II ALGEBRA II HONORS/GIFTED - SECTION 2-3 (Linear Functions and Slope-Intercept Form) 7/16/2018 ALGEBRA II SECTION.

Lines in the Coordinate Plane

Copyright © 2012 Pearson Education, Inc.

Algebra 1 Section 5.2 Write equations of lines given slope and a point

Slope of a Line.

Graphing Linear Equations

4.5: Graphing Equations of Lines

5-Minute Check Lesson 1-3A

College Algebra Chapter 2 Functions and Graphs

Linear Equations in two variables

Calculating Slope From Graphs

Graphing Linear Equations in Slope-Intercept Form

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

Equations of Lines in the Coordinate Plane

Slope and Graphing.

Identifying Graphs of Linear Equations

Slope How did we define slope yesterday?

slope - describes the steepness of a line

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

Algebra 1 Review Linear Equations

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

5.5: Writing Equations of Parallel and Perpendicular Lines

2.5 Linear Equations.

Introduction To Slope.

Section 3-7 Equations of Lines in the Coordinate Plane

Section 2.4 Another Look at Linear Graphs

Slope = m = rate of change

Do Now From this table below, extend the table to zero, determine rate of change, y-intercept, and equation x y 3 –12 6 –14 9 –16 12 –18 1/17/2019 7:01.

Parallel Lines in Coordinate Plane

Graphing Linear Equations

3.1 Reading Graphs; Linear Equations in Two Variables

Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.

Slope Graphing Writing Equations of lines Parallel and perpendiclar

Section 3.3 The Slope of a Line.

Equations and Inequalities in 2 Variables; Functions

Bell Work Jackson opened a bank account and is saving for a new pair of shoes. The table below shows his progress. How much does Jackson save each week?

Objective graph linear equations using slope-intercept form.

3-4 Day 1 Equations of Lines

Section 2.9: Solving Inequalities in One Variable

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

6-2 Slope-Intercept Form

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

Equations and Inequalities in 2 Variables; Functions

Linear Functions and Slope-Intercept Form Lesson 2-3

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

Presentation transcript:

Finding Slope and Rate of Change Section 2.2 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Definitions Linear equation: An equation whose graph is a line Slope is a non-vertical line of the vertical change to the horizontal change between two points of a line Y-intercept is where the line crosses the y-axis 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Slope Equation Slope equation: Rewrite it as: Rise: The number of points up (vertically) from the previous point Run: The number of points sideways (horizontally) from the rise 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Types of Slope Positive Slope Negative Slope 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Types of Slope Zero Slope Horizontal Line 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Types of Slope No Slope/ Undefined Vertical Line 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Zero versus Undefined 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Undefined Slope 2.2: Slope and Rate of Change 12/9/2018 12:57 AM 8

2.2: Slope and Rate of Change Steps Find the change of Y and change of X of two of the points Determine the ratios for both Simplify the ratio Repeat the process for two other points Check answer 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

Create a t-chart & solve for slope Example 1 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? Create a t-chart & solve for slope x y –1 3 2 –2 –1 – (2) = –3 3 – (–2) = 5 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Example 1 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? –2 3 2 –1 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Your Turn What is the slope of this table? Will it rise, fall, horizontal, or vertical? +2 –1 +2 –1 +2 –1 x –2 2 4 f(x) 1 –1 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Example 2 What is the slope of this table? Will it rise, fall, horizontal, or vertical? +1 +2 +1 +4 +1 +8 x 2 3 4 5 f(x) 8 16 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Your Turn What is the slope of these two points, (1, –5) and (1, 0)? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Example 3 What is the slope of these two points, f(2) = 2 and f(6) = 8? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Example 4 What is the slope of these two points, f(a) = 3 and f(–2a) = 7? 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Your Turn What is the slope of these two points, f(2) = 8 and f(6) = 8? Will it rise, fall, horizontal, or vertical? 2.2: Slope and Rate of Change 12/9/2018 12:57 AM

2.2: Slope and Rate of Change Assignment Page 86 3-17 odd, 29-33 odd 2.2: Slope and Rate of Change 12/9/2018 12:57 AM