The Slope of a Line. Important things about slope… Slope is the change in y over change in x. Slope is represented by the letter m Vertical line has NO.

Slides:

Advertisements

Similar presentations

Lines, Lines, Lines!!! ~ Horizontal Lines Vertical Lines.

Advertisements

3.7 Equations of Lines in the Coordinate Plane

SLOPE of a Line from 2 Points

MCC85 & MCC86. Students will graph and analyze graphs of linear equations. a. Interpret slope as a rate of change. b. Determine the meaning of the slope.

Calculating Slope of a Line :

EXAMPLE 2 Find a negative slope Find the slope of the line shown. m = y 2 – y 1 x 2 – x 1 Let (x 1, y 1 ) = (3, 5) and (x 2, y 2 ) = (6, –1). –1 – 5 6.

A) A(3,4), B(7,8) P(5,6). b) A(-5,-2), B(3,7) P(-1,2.5)

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.

Slope and Rate of Change Lesson 2.3 Warm-up Divide: 0 Undefined An Internet company had a profit of $2.6 million in retail sales over the last five years.

Objectives Find rates of change and slopes.

Holt Algebra Rate of Change and Slope A rate of change is a ratio that compares the amount of change in a dependent variable to the amount of change.

Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.

Slope & Rate of Change. What is slope? The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run)

DEFINING SLOPE SECTION 5.2 Slope = = ________ is the ratio of vertical ______ to horizontal _____. Sloperise run rise SLOPEMAN My one weakness is that.

Functions and Their Graphs 1.1 Lines in the Plane.

Linear Functions Slope and y = mx + b. Remember Slope… Slope is represented by m m = 0 Horizontal Line Vertical Line Slope up to the right Slope up to.

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.

These lines look pretty different, don't they?

Chapter 6 Linear Equations and Their Graphs

Slope of a Line Lesson 6.2.

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.

2.2 Slope and Rate of Change, p. 75 x y (x1, y1)(x1, y1) (x2, y2)(x2, y2) run (x2 − x1)(x2 − x1) rise (y2 − y1)(y2 − y1) The Slope of a Line m = y 2 −

The Slope of a Line In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.

EXPLORING Mountains have slopes…. …and so do lines.

In your math notebook find the value of x so that the lines are parallel.

8.2 Lines and Their Slope Part 2: Slope. Slope The measure of the “steepness” of a line is called the slope of the line. – Slope is internationally referred.

Holt McDougal Geometry 3-5 Slopes of Lines 3-5 Slopes of Lines Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

4.4 Slope Formula.

Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.

Chapter 4 – Graphing Linear Equations 4.4 – 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.

Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).

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.

1)-1 – 4 2) 0 – (-2) 4 – ( -3) -1 – (-2) 3)3 – 4 4) 2 – (-2) – 6.

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.

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.

From a graph and ordered pairs

Finding the slope of a Line

Linear Equations, Tables, and Graphs

DEFINING SLOPE SECTION 4.2.

4.4 Slope Formula.

Rate of Change and Slope

Objective The student will be able to:

WARM UP Determine the constant rate of change and determine if it linear or not?

Equations of Lines in the Coordinate Plane

Slope and Graphing.

Objective The student will be able to:

Objectives Find rates of change and slopes.

Slope = m = rate of change

Rate of Change and Slope

Parallel Lines in Coordinate Plane

Day 5 Slope of a line.

A _________________ is a ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable. Rate of Change.

4.4 Find Slope and Rate of Change

Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.

Lesson 1-3 Formulas.

7.4 Slope Objectives: To count slope To use slope formula.

Slope is the rate of change of a line.

Graph Each Equation Using the Intercepts

Section 3.3 The Slope of a Line.

5-1 Rate of Change and Slope

Rate of change and slope

2.2 Linear Equations.

Presentation transcript:

The Slope of a Line

Important things about slope… Slope is the change in y over change in x. Slope is represented by the letter m Vertical line has NO slope Horizontal line has a slope zero (0)

Formula for slope: = =

Find the slope of a line passing through points (1,1) and (3,-2)

A slope of - 3 / 2 means that or every time y goes down 3, x moves over 2 Graph and count to check

Classify lines by their slope: 1. A line with a positive slope rises from left to right (m>0) x y

2. A line with a negative slope falls down from left to right (m<0) x y

3. A line with a zero slope is horizontal (m=0) Equation y = 3 x y

4. A line with an undefined slope is vertical (m is undefined) YOU CANT DIVIDE BY 0! x y

RATE OF CHANGE: At 3:00 p.m. a car leaves the city. By 5:00 it has traveled 90 miles. Find its average speed. Change in miles Change in time(hours) Notice you have two pairs: (3,0) and (5,90) Where x is time and y is miles.

The temp. is 63 F at 7a.m. By 10a.m., its 45 F. Find the average rate of change in temp. Change in temp Change in time = -6 degrees per hour Two pairs: (7,63) and (10,45)

Find the value of y for the line going through points (-3, -2), (1, y) when the slope of the line is 2 2 = -2 – y = -2 – y = -2 - y 6 = y