Drill #20* Find the slope of the line passing through the following points: 1.( 3, 6), ( 7, 9) 2.( -1, -2 ), ( 4, 5 ) 3.( 4, 2 ), ( -2, -5 )

Slides:

Advertisements

Similar presentations

3.7 Perpendicular Lines in the Coordinate Plane 1 GOAL

Advertisements

Notes Over 2.2 Rises Finding the Slope of a Line

3.8 Slopes of Parallel and Perpendicular Lines

Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.

3.8 Slopes of Parallel and Perpendicular Lines

Chapter 3.3 Slopes of Lines Check.3.1 Prove two lines are parallel, perpendicular, or oblique using coordinate geometry. Spi.3.1 Use algebra and coordinate.

3.7 Perpendicular Lines in the Coordinate Plane. Postulate 18 “Slopes of Perpendicular Lines” In a coordinate plane, 2 non-vertical lines are perpendicular.

Equations of Lines; Building Linear Functions January 22, 2007.

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.

3.3 Slopes of Lines.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Slope of a Line.

Geometry 3.4 Big Idea: Find the Slope of a Line. Determine if lines are parallel or perpendicular.

Drill #18 Find the x- and y– intercepts of the following equations in standard form, then graph each equation: 1. 2x – 2y = x + 4y = x.

Section 1.1 Slopes and Equations of Lines

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

S ECTIONS 3.6 & 3.7 E QUATIONS OF L INES 1/13. W HAT IS S LOPE ? The slope of a line is the ratio of the vertical change (rise) to the horizontal change.

3-7 Equations of Lines in the Coordinate Plane

Geometry: Parallel and Perpendicular Lines

Perpendicular Lines Sec 3.7 Goals: To identify perpendicular lines using slope To write equations of perpendicular lines.

OBJECTIVES: STUDENTS WILL BE ABLE TO… IDENTIFY IF 2 LINES ARE PARALLEL, PERPENDICULAR OR NEITHER GRAPH A LINE PARALLEL OR PERPENDICULAR TO ANOTHER WRITE.

Honors Geometry Section 3.8 Lines in the Coordinate Plane.

Honors Geometry Section 3.8 Lines in the Coordinate Plane.

Drill #19* Find the x- and y– intercepts of the following equations in standard form, then graph each equation: 1.2x – 2y = x + 4y = x + 3y.

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.

Functions and Their Graphs 1.1 Lines in the Plane.

These lines look pretty different, don't they?

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.

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.

Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.

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.

12/23/ : Slopes of Lines 1 Expectation: You will calculate slopes of lines parallel and perpendicular to given lines.

I can determine when lines are parallel and write equations of parallel lines.

3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes.

Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.

4.5A Find and Use Slopes of Lines. Recall: The slope of a non-vertical line is the ratio of vertical change (rise) to horizontal change (run) between.

Drill #23 Determine the value of r so that a line through the points has the given slope: 1. ( r , -1 ) , ( 2 , r ) m = 2 Identify the three forms (Point.

CHAPTER 3 Lines in a Plane. Exploring Lines and Planes Parallel lines Perpendicular lines Oblique lines Skew lines Parallel planes Perpendicular planes.

1.5 Parallel and Perpendicular Lines on the Coordinate Plane

Slope of a Line. Slopes are commonly associated with mountains.

Writing Equations of Parallel Lines (IN REVIEW) You can use the slope m of a nonvertical line to write an equation of the line in slope-intercept form.

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.

3.4 Find and Use Slopes of Lines

What is a right triangle?

8.2 Lines and Their Slope Part 2: Slope.

How can you use the slope of a line to describe the line?

Equations of Lines in the Coordinate Plane

Slopes of lines.

3-3: Slopes of Lines.

Math The Slope of a Line.

Parallel Lines •. Non-vertical lines are. parallel if and only if they

Lines in the Plane Property of Texas Tech University

Perpendicular Lines in the Coordinate Plane

Perpendicular Lines in the Coordinate Plane

3.6 Lines in a coordinate plane

Graphs, Linear Equations, and Functions

3.4 Find and Use Slopes of Lines

3.6 Parallel Lines in the Coordinate Plane

Math Humor Q: How do the geometry teacher and track coach wake up their son? A: It’s time to rise and run!!!

The ratio of vertical change to horizontal change

3-5: Vocabulary rise, run, slope point-slope form of a line

Section 3.3 The Slope of a Line.

3.4 Find and Use Slopes of Lines

Perpendicular and Parallel Lines

5.4 Finding Linear Equations

3.6 Parallel Lines in the Coordinate Plane

3.8 Slopes of Parallel and Perpendicular Lines

3-3 Slopes of Lines Objectives: To find the slopes of lines.

3-6 Slopes of Parallel & Perpendicular Lines M11.B A

Presentation transcript:

Drill #20* Find the slope of the line passing through the following points: 1.( 3, 6), ( 7, 9) 2.( -1, -2 ), ( 4, 5 ) 3.( 4, 2 ), ( -2, -5 )

Slope (20.)** Slope: The ration of the change in vertical units to the change in horizontal units (RISE OVER RUN). The formula for the slope m of the line passing throughand is given by. That is the change in the y coordinate (RISE) over the change in the x coordinate (RUN)

Slope (#20*) Determine the value of r so that a line through the points has the given slope: 4.(3, r ), ( -2, 1 ) m = 2 5.( -3, 6), ( r, 12) m = -¾

Parallel Lines (21. & 22.) ** Parallel Lines: In a plane, non-vertical lines with the same slope are parallel. Perpendicular Lines: In a plane, two oblique lines are perpendicular if and only if the product of their slopes is -1.

Parallel and Perpendicular Lines Parallel Lines Have the same slope. To determine if two lines are parallel, find the slope of both lines. If they are the same they are parallel. Perpendicular Lines Product of slopes is -1 To determine if two lines are perpendicular, find the slope of both lines. Multiply the slopes together. If the product is -1 they are perpendicular.

Determine if the following lines are parallel, perpendicular, or neither: 6. y = 3x + 3 y = -3x – 1 7. y = -2x + 1 y = ½ x – 2 8. y = 2 y = -½