Slope. Slope of a Linear Relationship The Slope of a linear relationship is the steepness of the line. rise run Slope =

Slides:

Advertisements

Similar presentations

Objective - To find the slope of a line.

Advertisements

SLOPE.

U1B L1 Review of Slope UNIT 1B LESSON 1 Review of Slope.

Rate of Change. Rate of Change of a Linear Relationship The rate of change of a linear relationship is the steepness of the line. rise run Rate of Change.

MTH 070 Elementary Algebra Section 3.3 The Slope and y-Intercept Method Chapter 3 Linear Equations, Slope, Inequalities, and Introduction to Functions.

Slopes (or steepness) of lines are seen everywhere.

I was clear on everything from the past lessons, except…

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.

Note This is an Enrichment Lesson It is not required for Gr. 8 Math in NL This slope lesson is interactive and you could use graph paper as you follow.

Equations of Lines in the Coordinate Plane

4-1A Rate of Change and the Slope of a Line Using a Graph

Slope and Rate of Change

Linear Equations and Slope Created by Laura Ralston.

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

Slopes (or steepness) of lines are seen everywhere.

I can find the slope of a line from a table or graph.

Linear Functions 6.1 SLOPE OF A LINE. Today’s Objectives Demonstrate an understanding of slope with respect to: rise and run; rate of change; and line.

Slope describes the steepness of a line By Angela Gallacher.

Slopes (or steepness) of lines are seen everywhere.

Dr. Fowler CCM Slope - Harder. WRITE NOTES: The steepness of the roof of a house is referred to as the pitch of the roof by home builders. Give one reason.

Equation of a line.

1.2: Slope -slope formula M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines,

Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. Find 1. Find the gradient of a line from.

Slope. Slopes (or steepness) of lines are seen everywhere.

FINDING THE SLOPE FROM 2 POINTS Day 91. Learning Target: Students can find the slope of a line from 2 given points.

Warm up Find the domain and range of the following graphs.

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.3, Slide 1 Chapter 1 Linear Equations and Linear Functions.

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.

Slopes (or steepness) of lines are seen everywhere.

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.

Slopes Mr. Zarrell Math Coach What is Slope? Click to see more.

Chapter 2.2 Slope and Rate of Change. Things to know from Chapter ) How to calculate slope from 2 points. 2.) Determine rise, fall, horizontal,

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,

3-3 RATE OF CHANGE February Objectives I can determine the rate of change of a line from a graph I can determine the rate of change of a line.

What is the meaning of this sign? 1.Icy Road Ahead 2.Steep Road Ahead 3.Curvy Road Ahead 4.Trucks Entering Highway Ahead.

Finding Slope from a Graph. What is slope? Slope is the steepnes of a line “m” is the symbol used to represent slope.

Chapter 1 Linear Equations and Linear Functions.

Finding the slope of a Line

Slopes (or steepness) of lines are seen everywhere.

HA1-385: Finding the Slope of a Line

Slope 8.4C Use data from a table or graph to determine the rate of change or slope and y-intercept.

Rate of Change a.k.a. Slope

Slope of a Line (6.1).

Learning Goal I can determine the rate of change of relationships from a graph or diagram that represents the situation.

Slopes (or steepness) of lines are seen everywhere.

Slope of a Line.

Rate of Change.

Slopes Click to see more. What is Slope?.

Rate of Change.

Slopes (or steepness) of lines are seen everywhere.

Slopes (or steepness) of lines are seen everywhere.

Graphing & Analytic Geometry

Slopes (or steepness) of lines are seen everywhere.

Rate of Change.

Graphs have a vertical line (y-axis) & a horizontal line (x-axis)

What is SLOPE?.

Slopes (or steepness) of lines are seen everywhere.

Slopes (or steepness) of lines are seen everywhere.

Rate of Change.

Warm up What is the tenth term of an = 2n + 3?

Slopes (or steepness) of lines are seen everywhere.

Rate of Change.

Rate of Change.

Slopes (or steepness) of lines are seen everywhere.

What is Slope? Mr. Stevens Algebra 1.

Slopes (or steepness) of lines are seen everywhere.

Slopes (or steepness) of lines are seen everywhere.

5.1 Rate of Change and Slope

Presentation transcript:

Slope

Slope of a Linear Relationship The Slope of a linear relationship is the steepness of the line. rise run Slope =

Slopes are seen everywhere.

The steepness of the roof of a house is referred to as the pitch of the roof by home builders.

Give one reason why some homes have roofs which have a greater pitch. There is less snow buildup in the wintertime.

Engineers refer to the Slope of a road as the grade.

They often represent the slope as a percentage.

A grade of 8% would mean for every rise of 8 units there is a run of 100 units = 8% Slope =

The steepness of wheelchair ramps is of great importance for safety. Slope of wheelchair ramp = 1 12 If the rise is 1.5 m, what is the run? Answer: 18 m because

3 m 5 m Determine the rate of change (pitch) of the roof.

Determine the rate of change of each staircase.

Determine the Slope. Which points will you use to determine rise and run? = $5/hr 20 4 EarningsEarnings Number of Hours Worked What does this rate of change represent? The hourly wage

POSITIVE SLOPES Goes up to the right

Negative Slope Goes down to the right

STEEPNESS OF SLOPE The greater the _ Constant of variation_(steapness)__, the ___Greater__ the slope! (i.e. a slope of -10 is __Greater_______ than a slope of 8) A ski hill has two runs with a slope of 6% and 10%. Represent their slopes in a graph.

HOW DO WE MEASURE SLOPE? Slope compares the __Rise__ to the run__ to determine the __Slope______ steepness Slope can be represented by the letter __m___ The formula for slope is given by: Slope = Rise/Run

Try it A ski jump is 90 metres high and takes up a horizontal distance of 32 metres along the ground. What is the slope of the jump?

Try these

Answers Slope =-5/2 2/3 3/1 =3

Lets apply this stuff A line segment has an endpoint at (5, 4) and a slope of -2/3. Find another point on the line. Using a graph: –therefore (8,2) Using the coordinates:

Using coordinates A line segment has an endpoint at (5, 4) and a slope of -2/3. Find another point on the line. 5+3=8 4-2 = 2 therefore (8,2)