Slope Lesson 4.6.

Slides:



Advertisements
Similar presentations
Equation of a line y = m x + b
Advertisements

A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change
Writing Parallel and Perpendicular Lines Part 1. Parallel Lines // (symbol) All parallel lines have the same slope. Parallel lines will NEVER CROSS. Since.
Parallel & Perpendicular Lines
Parallel and Perpendicular Lines Objectives: Define parallel lines. Find equations of parallel lines. Define perpendicular lines Find equations of perpendicular.
2-3 Slope Slope 4 indicates the steepness of a line. 4 is “the change in y over the change in x” (vertical over horizontal). 4 is the ‘m’ in y = mx + b.
Perpendicular Lines. ┴ Perpendicular lines are lines that intersect in a right angle. ┴ The slopes of perpendicular lines are negative reciprocals of.
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.
Lesson 6.5 Parallel and Perpendicular Lines
Parallel & Perpendicular Lines. Parallel and Perpendicular Lines The two lines shown below are parallel (never intersect). Identify the slope of each.
Geometry Section 3.6 “Slope of Parallel and Perpendicular lines”
Parallel Lines Lines are parallel if they have the same slope.
y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
Section 7.3 Slope of a Line.
Slopes of Parallel and Perpendicular Lines Recall that two lines are parallel if they are in the same plane and do not intersect. Two lines are perpendicular.
Equations of lines.
The slope of a line. We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The.
Slopes of Lines Chapter 3-3.
1.2 Linear Equations in Two Variables
It’s What’s Going On!. Recall y = mx + b is the equation of a line m is the value of the slope of a line (rise over run) b is the y-intercept m = 1 __.
Linear Equations and Slope Created by Laura Ralston.
Review of lines Section 2-A. Slope (m) of a line Let P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) be points on a nonvertical line, L. The slope of L is.
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.
Trigonometry/ Pre-Calculus Chapter P: Prerequisites Section P.3: Lines in the Plane.
Slopes of Equations and Lines Honors Geometry Chapter 2 Nancy Powell, 2007.
Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.
Lines: Slope The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. As a formula, slope =
Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.
3-7 Equations of Lines in the Coordinate Plane
Geometry: Parallel and Perpendicular Lines
Parallel, Perpendicular, Horizontal, and Vertical Lines
Unit 5: Analytic Geometry Determine the equation of this line: Minds On.
Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2.
What are the characteristics of Lines in the Plane? Section P4 (new text)
Objective: After studying this lesson you will be able to understand the concept of slope, relate the slope of a line to its orientation in the coordinate.
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 =
Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
2.4 Lines. Slope Find the slope of the line passing through the given points.
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 −
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.
In your math notebook find the value of x so that the lines are parallel.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
WARM UP 1. Name the alternate interior angles 2. Name the alternate exterior angles 3. Name the corresponding angles.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
The Slope of a Line. Finding the Change with Growth Triangles What is the growth factor for this line? Change in y direction Change in x direction.
5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.
2.6 Extension Writing Equations of Parallel and Perpendicular Lines.
Write Equations of Parallel and Perpendicular Lines
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
1)-1 – 4 2) 0 – (-2) 4 – ( -3) -1 – (-2) 3)3 – 4 4) 2 – (-2) – 6.
Lesson 31: Negative Reciprocals, Perpendicular Lines, Remote Interior Angles.
Lesson 1-2 Slopes of Lines Object
Warm-up How long is one million seconds? How long is one billion seconds? How long is one trillion seconds?
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.
Slope of a Line. Slopes are commonly associated with mountains.
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.
Everything You Will Ever Need To Know About Linear Equations* *Whether You Wanted To Know It Or Not!
2.4 – Parallel and Perpendicular Lines
Parallel and Perpendicular Lines 4.4.
4.7 Parallel and Perpendicular Lines
Chapter 2 Section 2 Part II
2.5 Linear Equations.
Section 1.2 Straight Lines.
The ratio of vertical change to horizontal change
WARM UP 1. Name the alternate interior angles
Slope Graphing Day 2.
Presentation transcript:

Slope Lesson 4.6

Change of y over the change of x Use m for slope Equation: 1 2 m = 2 1

m = ∆y ∆x ∆ Delta y over delta x ∆ delta means change Rise over run

Find the slope of a line given two points: (5, -2) (6, 3) 1 2 m = 2 1 3 - -2 6 - 5 5 1 = = 5

Four special slopes: Positive slope: m>0 Negative slope: m<0

Horizontal slope: m=0 Slope is zero Vertical slope: no slope undefined

Slope of parallel lines: Parallel lines have the same slope but different y-intercepts. Graph: y = 2x + 2 and y = 2x - 3 on the same graph.

= -1 Graph: y = x+3 and y = x -1 on the same graph.  Perpendicular lines: slopes are the opposite reciprocals of each other Their product equals -1. Graph: y = x+3 and y = x -1 on the same graph. = -1 

Show that CEF is a right triangle. What do I have to prove in order for it to be a right triangle? (Two sides slopes’ need to be opposite reciprocals in order to have a right angle.) 1. Slope of CE = 4 - 3 8 - 1 = 1 . 7 Since the slopes of FE & FC are opposite reciprocals, F is a right . Therefore, CEF is a right triangle. 2. Slope of FE = 7 - 4 4 - 8 = 3 . -4 3. Slope of FC = 3 - 7 1 - 4 = -4 . -3 = 4 3

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.