Introduction To Slope. Slope is a measure of Steepness.

Slides:



Advertisements
Similar presentations
Slope and Rate of Change Equations of Lines
Advertisements

Lesson 5.1 Write Equations in Slope-Intercept Form.
Graphing Linear Equations In Slope-Intercept Form.
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.
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
Introduction To Slope. Slope is a measure of Steepness.
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
3.3 Slope.
Writing the Equation of a Line
Slope-Intercept Form of a Line
Copyright © Cengage Learning. All rights reserved. P Functions and Their Graphs.
Sullivan Algebra and Trigonometry: Section 2.3 Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use the Point-Slope.
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.
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?
2.3 – Slopes, Forms of Lines. Slope Slope = measure of steepness of a line in the Cartesian plane for two points Slope = m = Two ways to calculate slope:
Introduction To Slope. Slope is a measure of Steepness.
Sullivan Algebra and Trigonometry: Section 2.3 Lines Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use.
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 =
Introduction To Slope. Slope is a measure of Steepness.
X and Y Intercepts.
SLOPE. What does slope measure? Slope measures the steepness of a line.
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.
Chapter 5:Write the equation of a line Given Slope & y-Intercept.
Big Idea : -Solve systems of linear equations by graphs.
There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.
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.
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!
WRITING LINEAR EQUATIONS FINDING THE SLOPE OF A LINE.
1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.
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.
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?

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

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