Slope describes the steepness of a line By Angela Gallacher.

Slides:



Advertisements
Similar presentations
Objective - To find the slope of a line.
Advertisements

Slope of a Line Slope basically describes the steepness of a line Free powerpoints at
Algebra Lesson 6-1 Created by Jeff M. Downs Important Vocabulary Terms The slope of a line is the ratio of the vertical rise to the horizontal run between.
REFRESHER Linear Graphs.
Anatomy of a Line. Equation of a line Interpretations of slope Used to describe the steepness, incline, or grade of a line. Measures the rate of change.
Graphing Motion The Slope of a Line.
Brett Solberg Sarah Schneider Ralph Davis. Students will be able to derive an accurate formula for finding the slope of a line.
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:
The Slope of a Line.
Aim: What is slope and how do we find it?
Warm Up h(-8) What value of x would make h(x) = 7?
3.3 Find Slope and Rate of Change Objective: Students will be able to find the slope of a line and interpret slope as a rate of change.
Lesson 1-3 Formulas Lesson 1-3: Formulas.
Slope Lesson 2-3 Algebra 2.
3.3 Slope.
11.6 Slope. Rate of Change – identifies the relationship between two #’s that are changing Slope – a line’s rate of change Slope formula =
Bellwork 4.3a SLOPE CONJECTURE Objectives: 1. Define the slope of a line 2. Discover formula for finding the slope of a line.
4.4 Slope of a Line Slope basically describes the steepness of a line.
Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.
Introduction To Slope. Slope is a measure of Steepness.
Slope of a Line Slope basically describes the steepness of a line.
© William James Calhoun, : Slope OBJECTIVE: You will be able to find the slope of a line, given the coordinates of two points on the line. Initial.
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.
Equation of a line.
Slope is a number, which describes the steepness on the line
Drill #57 Write an equation in function notation for the following relations: {(-1, 6), (0, 3), (1,0)} XY XY
03.03 SKM & PP 1 Slope SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The.
Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.
These lines look pretty different, don't they?
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.
Slope of a Line Slope basically describes the steepness of a line.
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.
EXPLORING Mountains have slopes…. …and so do lines.
Slope of a Line Slope basically describes the steepness of a line.
Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.
Objective The student will be able to: find the slope of a line given 2 points and a graph.
FINDING THE SLOPE FROM 2 POINTS Day 91. Learning Target: Students can find the slope of a line from 2 given points.
Objective The student will be able to: Find the slope of a line given 2 points and a graph.
Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?
WARM-UP Solve each equation for y 1) 2) Determine if the following points are on the line of the equation. Justify your answer. 3) (3, -1) 4) (0, 1)
EXAMPLE 1 Finding Slope The Mount Pilatus Railway in the Swiss Alps is the steepest cogwheel railway in the world. The track rises about 20 feet vertically.
Rate of Change SLOP E AKA. Types of Slopes Negative Slope Lines that have negative slopes “slant downhill” as viewed from left to right.
The Slope of a Line 4.4 Objective 1 – Find the slope of a line using two of its points Objective 2 – Interpret slope as a rate of change in real-life situations.
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.
5-1B Rate of Change Warm-up (IN) Learning Objective: to understand that slope is the rate of change of one quantity relative to another and to be able.
Warm Ups (Monday 4/13) Label the slopes of the lines as “Positive” or “Negative” or “Zero” or “Undefined”
Find Slope and Rate of Change Find Slope and Rate of Change Objective: Students will be able to find the slope of a line and interpret slope as a rate.
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.
Finding Slope from a Graph. What is slope? Slope is the steepnes of a line “m” is the symbol used to represent slope.
Slope basically describes the steepness of a line
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.
Finding the slope of a Line
Slope Slope is the steepness of a straight line..
Lesson 1-3 Formulas Lesson 1-3: Formulas.
Slope of a Line (6.1).
4.4 Slope Formula.
Graphing Linear Equations in Slope-Intercept Form
Slope From a graph 13-2.
12/1/2018 Lesson 1-3 Formulas Lesson 1-3: Formulas.
Rate of Change and Slope
Slope basically describes the steepness of a line
3.6 Parallel Lines in the Coordinate Plane
The ratio of the vertical change to the horizontal change
Bellwork Find the x and y intercepts and then graph the line for the following equation: 2x + 6y = 12.
EXPLORING SLOPE.
Slope basically describes the steepness of a line
Finding the Slope of a Line
Slope basically describes the steepness of a line
Lesson 1-3 Formulas.
Presentation transcript:

Slope describes the steepness of a line By Angela Gallacher

If a line goes up from left to right, then the slope has to be positive Conversely, if a line goes down from left to right, then the slope has to be negative

Rise over Run

Definitions of Slope Slope is simply the change in the vertical distance over the change in the horizontal distance

The formula above is the one which we will use to find the slope of specific lines In order to use that formula we need to know, or be able to find 2 points on the line

Lets Try! 1.(2, 3) (4, 9) 2. (-3, 5) (3, 6) The slope of the line is 3 The slope of the line is 1/7

You Try

Horizontal lines have a slope of zero while vertical lines have no slope HorizontalVertical m = 0 m = no slope