Slopes. Formulas Slope= rise/run Change of y/change of x.

Slides:

Advertisements

Similar presentations

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

Advertisements

Goal: By the end of the lesson, students will be able to find the slope of a line from a graph.

2-3 Slope Slope 4 indicates the steepness of a line. 4 is “the change in y over the change in x” (vertical over horizontal). 4 is the ‘m’ in y = mx + b.

Finding Slope from… A graph An equation Essential Question: Describe the two parts of a linear equation in terms of y intercept and slope.

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.

Slope-Intercept and Point-Slope Forms of a Linear Equation.

Slope and similar triangles

Linear Functions Lesson 1: Slope of a Line. Today’s Objectives Demonstrate an understanding of slope with respect to: rise and run; rate of change; and.

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

Linear Equations Review Chapter 5 Chapters 1 & 2.

Taxicab Geometry. Uses a graph and the movement of a taxi Uses the legs of the resulting right triangle to find slope, distance, and midpoint.

Slope-Intercept Form Linear Equations.

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:

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.

Equation of a line.

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

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)

8-3: Slope Objectives The student will be able to: find the slope of a line given 2 points and a graph. First by rise/run then using the formula! Find.

Warmups 1. Determine the x and y intercepts of: 3x + 6y = Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) 3. Write an equation in point-slope.

Slope of a Line Lesson 6.2.

Graphing Linear Equations. Standard Form Equation where x and y are on the same side of the equal sign. Example:

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.

4.4 Finding Slope and Rate of Change. How Would You Describe Slope?

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

Do Now If f(x) = 2x + 3 and g(x) = x 2 – 2x, find: 1)f(3)2)g(-2) *3) g(4) – f(1)

Slope (Finding it from two points and from a table.)

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.

WRITING EQUATIONS IN SLOPE INTERCEPT FORM 4.2. What you need… ■In order to write an equation in slope intercept form you need to know 2 things: ■ y =

SLOPE INTERCEPT FORM Y = MX +B SLOPE INTERCEPT FORM WHAT IS THE SLOPE INTERCEPT FORM? Y = MX +B a) M STANDS FOR THE SLOPE (RISE OVER RUN) b) B STANDS.

Slope on a Graph Notes and Examples. Vocabulary Steps 1) Decide if the line is positive, negative, or neither 2) Locate two lattice points 3) Draw a.

© The Visual Classroom Review of Straight Lines y = mx + b rise run rise run positive slope negative slope.

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

How are slopes measured? SLOPE = Third: Make a ratio of rise over run and then simplify. Let’s find the slope of this line. First: Find the rise.

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.

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.

Slope - Intercept Form. Slope - Intercept Form – an equation written in this form y=mx+b m = slope b = y - intercept y – intercept – the point on a graph.

Slope Formula. P1: ( -4, -5) P1: ( x 1, y 1 ) X 1 = -4, y 1 = -5 P2:( 4, 2) P2: (x 2, y 2 ) X 2 = 4, y 2 = 2 ( -4, -5) & ( 4,2)

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

Slope & Midpoint on the Coordinate Plane. SLOPE FORMULA Given two points (x 1,y 1 ) and (x 2,y 2 ) SLOPE The rate of change to get from one point to another.

LEQ: What is the process used to graph direct variation equations?

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.

Welcome to Unit 8: LINEAR Functions

Standard and Slope-Intercept Form

Rate of Change AKA SLOPE.

Write an Equation in Slope-Intercept Form

Identifying Graphs of Linear Equations

Finding the Slope of a Line Unit 7.02

Motion Physics Part 1.

Graphing Linear Equations

Slope is the steepness of a line.

Slope and similar triangles

Introduction To Slope.

SLOPE AND GRAPHING LINEAR EQUATIONS (B6, B7, B8)

3.6 Parallel Lines in the Coordinate Plane

Writing Linear Equations Given Two Points

Example 1A: Graphing by Using Slope and y-intercept

Graphing Linear Equations

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.

Slope is the rate of change of a line.

Find the y-intercept and slope

Writing Linear Equations from Graphs

Lesson SLOPE I can: find the slope of a line.

Ch 4.2 & 4.3 Slope-Intercept Method

Presentation transcript:

Slopes

Formulas Slope= rise/run Change of y/change of x

Lattice Point When finding the slope from an origin you can use the lattice point.

Triangle The triangle method is another method used to find the slope.

Question: Extra Credit!!

Example

First Way You can find the slope in Three Ways that we learned. 1st way: Rise/run Count the rise Yes, it is 2 Count the run Yes, it is -8 We have 2/-8 when reduced it is - 1/4

Second Way: Lattice Point We see that the line crosses at (4,-2) and (-6,-2). Remember: We can use the lattice points when the line does not cross the origin.

Third Way: Triangle Use the two lattice points you have. Connect them by forming a triangle.

Challenge: Is this a positive slope or a negative slope?Why?

Challenge: What is the slope?