By: Inn Cline Horace Ontal Horace Mann Middle School.

Slides:

Advertisements

Similar presentations

Objective - To find the slope of a line.

Advertisements

1.1 Line Segments, Distance and Midpoint

The equation of a line - Equation of a line - Slope - Y intercept

Lesson 4-4 Example Solve. DRINKS It costs $3 per bottle of orange drink. Graph an equation to represent the cost of purchasing x bottles of orange.

Writing and Graphing Equations of Lines

Slope and similar triangles

Brett Solberg Sarah Schneider Ralph Davis. Students will be able to derive an accurate formula for finding the slope of a line.

4-1 Detour Proofs Learner Objective: I will calculate midpoints of segments and complete proofs requiring that more than one pair of triangles be shown.

Distance, Midpoint, & Slope. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:

8.4 Distance and Slope BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 This is a derivation of the Pythagorean Theorem and can be used to find.

The Slope of a Line.

3.4 Graph of Linear Equations. Objective 1 Use the slope-intercept form of the equation of a line. Slide

Finding The Slope Of A Line

Distance, Slope, and Midpoint Day 10. Day 10 Math Review.

I can apply the midpoint formula. Day 3 I can understand the concept of slope. 1. On the same coordinate plane, draw the following: a) the line through.

Tables and Slope Return to Table of Contents. xy How can slope and the y-intercept be found within the table? · Look for the change in the y-values.

There’s a quiz on the table. Please take one and get started.

SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.

Lesson #17- Slope of a Line. Consider the roofs of 3 houses Steep SteeperSteepest = 2 rise run rise run = rise run = = 2 1.

Slope describes the steepness of a line By Angela Gallacher.

Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.

Check it out! : Comparing Linear Functions.

Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.

Slope. Traditional Slopes: Positive Slope: This is a slope that increases as you move from left to right on a coordinate plane…think of riding a ski lift.

3.4 – FIND AND USE SLOPES. Slope: measures the steepness of a line or the rate of change. Slope = m = Rise Run Up or down Left or right =

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.

Graphing Lines Section 4.6.

3.1 The Slope of a Line Objective: Find the slope of a line if given either the graph of the line or two points from the line.

Homework: Distance & Midpoint Worksheet Big quiz on Thursday Warm-Up:

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.

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.

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

SLOPE-INTERCEPT FORM LINEAR FUNCTIONS. y = mx + b Slope - measure of the steepness of a line y-intercept - where the line crosses the y-axis.

Chapter 3 Section 4. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Writing and Graphing Equations of Lines Use the slope-intercept.

Unit 5 Lesson 2 Remediation Activity 2 Let’s practice some more with midpoint!

Gradient. Inquiry  How do we measure and describe gradients on maps and in the field?  How does a map indicate gradients?  What is the relationship.

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

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.

4.1 Apply the Distance and Midpoint Formulas The Distance Formula: d = Find the distance between the points: (4, -1), (-1, 6)

Finding the Slope. The Question Given the two point (-3,1) and (3,3) which lie on a line, determine the slope of that line. First, let’s draw the graph,

WARM UP SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes.

When you hear the word “slope” what comes to mind? SLOPE OF A LINE.

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)

Slopes 8 th Grade Math Presented by Mr. Laws. CCSS Standard 8.F.3 - Interpret the equation y = mx + b as defining a linear function, whose graph is a.

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.

CALCULATING SLOPE SOL A.6a. WHAT IS A LINE?  Contains infinitely many points that extends in two opposite directions without end  Continuous function.

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

Notes Over 4.4 Finding the Slope of a Line Slope The number of units the line rises or falls for each unit of horizontal change from left to right Rise:

0-6 Writing Equations in Point- Slope Form. Slope Formula y 1 – y 2 x 1 – x 2 Forms of lines Point-slope form: y – y 1 = m (x - x 1 )

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

EXAMPLE FORMULA DEFINITION 1.

5.1 Finding Slope.

Finding the slope of a Line

3.3 & 3.4 Slope & Finding the equation of a Line

Rate of Change A ratio (fraction) of the amount of change in the dependent variable (output) to the amount of change in the independent variable (input)

Slope of a Line (6.1).

Introduction To Slope.

Definitions of Slope Slope is the rate of change of a linear equation.

The Distance and Midpoint Formulas

Slope of A LINE (Gradient)

slope - describes the steepness of a line

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

Slope and similar triangles

4.1 Rate of Change and Slope

Introduction To Slope.

Partitioning a Segment

3.6 Parallel Lines in the Coordinate Plane

Slope is: How steep a line is m Rise over Run All of the above

Find the y-intercept and slope

Understanding Slope.

Presentation transcript:

By: Inn Cline Horace Ontal Horace Mann Middle School

Definition of Slope Slope is the steepness of a line. The number that represents the slope is found by the difference in the y-values divided by the difference in the x-values.

To find the slope of the line segment between the two points, you need the rise divided by the run 5 units Run Rise 3 units

The formula to find the slope of the line segment between the two points is = = 5 3 (4,6) (1,1)

What is the slope of this segment? Run Rise Rise -8 Run 9 =

What is the slope of the segment between these two points? (-3,-3) (2,2)(2,2) = 2 – (-3) = 5 5 =1

1. (-4,6) and (8,1) Answer: (-5,-6) and (4,-1) Answer:5 9

Need More Info? Check out the following links! de.net/prussell/approx imations/Slopes.htmhttp://surfboard.surfsi de.net/prussell/approx imations/Slopes.htm Eqnslope.htmlhttp:// Eqnslope.html

All Graphics from Microsoft Clip Art and Encarta