The Distance and Midpoint Formulas

Slides:



Advertisements
Similar presentations
4.1- Plot Points in a Coordinate Plane
Advertisements

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec The Rectangular Coordinate System.
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Standardized Test Practice EXAMPLE 2 SOLUTION Plot points P, Q, R, and S on a coordinate plane. Point P is located in Quadrant IV. Point Q is located in.
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Distance and Mid point.
Points and their Coordinates
Chapter 1.7 Midpoint and Distance in a Coordinate Plane
Equations of Lines in the Coordinate Plane
Copyright © 2013 Pearson Education, Inc. All rights reserved Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing.
Copyright © 2013 Pearson Education, Inc. All rights reserved Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.1 The Distance and Midpoint Formulas.
Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.
Sullivan Algebra and Trigonometry: Section 2.1 Rectangular Coordinates Objectives Use the Distance Formula Use the Midpoint Formula.
8.1 The Rectangular Coordinate System and Circles Part 1: Distance and Midpoint Formulas.
Graphing With Coordinates
Graphing. 2. Coordinate Plane 3. Grid 4. Lattice Points 1. Number Line.
Section 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations.
You should be familiar with the rectangular coordinate system and point plotting from an earlier algebra course. Let's just run through the basics. x axis.
The Rectangular Coordinate System Quadrant I Quadrant II Quadrant III Quadrant IV 0 x-axis y-axis a b P(a, b)
Do now Solve 4x 4 -65x (3, ∞) Write as an inequality Sketch Bound or unbound?
Algebra Review Objective: Students will be able to demonstrate their ability to plot points on the Cartesian coordinate system.
Rectangular Coordinates Objectives: Use the Distance Formula Use the Midpoint Formula.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.1 The Distance and Midpoint Formulas.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. MATH 108 Section Coordinate Plane and Graphs.
Points and their Coordinates
Graphs and Applications of Linear Equations
Graphing Linear Equations
Graphing Linear Equations
Objective The student will be able to:
Distance and Midpoint In The Coordinate Plane
COORDINATE PLANE.
COORDINATE GRAPHING.
3.1 Graphing.
Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations.
Graphing in the Coordinate Plane
Coordinate Plane Plotting Points
Introduction to the coordinate Plane
Rectangular Coordinates;
Pythagorean Theorem and Distance
Graphing / Plotting Points Review
Graphs, Linear Equations, and Functions
Plotting Ordered Pairs Grade 6 Data Management Unit
1.
Cartesian Coordinate System
Coordinate Plane Sections 1.3,
P.5 The Cartesian Plane Our goals are to learn
The Coordinate Plane -5 5.
Chapter 1: Lesson 1.1 Rectangular Coordinates
Coordinate Geometry , Distance and Midpoint
Coordinate Geometry , Distance and Midpoint
MATH 1310 Section 1.1.
Graphing in the Coordinate Plane
Graphing Linear Functions
Chapter 3 Graphs and Functions.
2.3 Graph Equations of Lines
#learning Today we will review the principles of graphing and Cartesian plane. So that we are ready to build our knowledge on linear functions and relations.
MATH 1310 Section 1.1.
The Coordinate Plane pg
The Distance and Midpoint Formulas
Rectangular Coordinates
Sullivan Algebra and Trigonometry: Section 2.1
MATH 1310 Section 1.1.
The COORDINATE PLANE The COORDINATE PLANE is a plane that is divided into four regions (called quadrants) by a horizontal line called the x-axis and a.
Rectangular Coordinates; Introduction to Graphing Equations
The Distance & Midpoint Formulas
Points and their Coordinates
Coordinate Geometry , Distance and Midpoint
Points and their Coordinates
Presentation transcript:

The Distance and Midpoint Formulas Section 2.1 The Distance and Midpoint Formulas

Rectangular or Cartesian Coordinate System y axis x axis origin Rectangular or Cartesian Coordinate System

Let's plot the point (-3,-5) Let's plot the point (0,7) (6,4) (-6,0) (-3,-5) Let's plot the point (-3,-5) Let's plot the point (0,7)

Quadrant II x < 0, y > 0 Quadrant I x > 0, y > 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

Horizontal or Vertical Segments

Find the distance d between the points (2, -4) and (-1, 3).

Find the distance d between the points (2, -4) and (-1, 3).

A) B) C) D)

A) B) C) D)