3.4 Find and Use Slopes of Lines

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

3-5 Lines in the coordinate plane M11. B

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.

8-7: Parallel and Perpendicular Lines Mr. Gallo. Parallel Lines  If two non-vertical lines have the _________ ________, then the lines are ___________.

1.5 Find Slope and Rate of Change E. Q. How do I find Slope and Rate of Change???

3.3 Slopes of Lines.

3.3 Slopes of Lines. Objectives Find slopes of lines Use slope to identify parallel and perpendicular lines.

3.7 Perpendicular Lines in the Coordinate Plane

1.4: equations of lines M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or.

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.

Slopes of Equations and Lines Honors Geometry Chapter 2 Nancy Powell, 2007.

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.

3.6 Parallel Lines in the Coordinate Plane

Honors Geometry Section 3.8 Lines in the Coordinate Plane.

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.

Chapter 3 Notes.

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.

6/4/ : Analyzing Polygons 3.8: Analyzing Polygons with Coordinates G1.1.5: Given a line segment in terms of its endpoints in the coordinate plane,

These lines look pretty different, don't they?

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 )

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 −

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.

Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.

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.

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.

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,

Slope & Midpoint on the Coordinate Plane. SLOPE FORMULA Given two points (x 1,y 1 ) and (x 2,y 2 ) SLOPE The rate of change to get from one point to another.

Finding the slope of a Line

3.4 Find and Use Slopes of Lines

What is a right triangle?

Coordinate Geometry Notes Name:____________________________

AIM: Find parallel and perpendicular slopes

Equations of Lines in the Coordinate Plane

Objective- To find the slope of a line given

3.5 Write and Graph Equations of Lines

Slope of parallel and perpendicular lines postulate

Slope of a Line Add theorems on parallel/perpendicular (3-5) and add equations for horizontal and vertical lines and their slopes (3-6), parallel lines,

Perpendicular Lines in the Coordinate Plane

Parallel & Perpendicular Lines in the Coordinate Plane

Section 3-7 Equations of Lines in the Coordinate Plane

2.4 Use Postulates and Diagrams

5.1 Midsegment Theorem and Coordinate Proof

3.6 Parallel Lines in the Coordinate Plane

3.5 Parallel and PerpendicularLines 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

2.7 Prove ∡ Pair Relationships

9.1 Translate Figures and Use Vectors

1.5: Parallel and Perpendicular Lines

Section 3.3 The Slope of a Line.

3.4 Find and Use Slopes of Lines

4.4 Prove ∆s ≅ by SSS Mrs. vazquez Geometry.

Slope What You'll Learn You will learn to find the slopes of lines and use slope to identify parallel and perpendicular lines. ? 1 – 4.

3-3 Slopes of Lines Slope is the ratio of the rise (the vertical change) over the run (the horizontal change). Sometimes they will give you a graph, pick.

3.6 Parallel Lines in the Coordinate Plane

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

10.7 Write and Graph Equations of ⊙s

Presentation transcript:

3.4 Find and Use Slopes of Lines Mrs. vazquez Geometry

G-GPE.5 Essential Question: How does slope relate to || and ⊥ lines? Objective: Students will be able to find and compare slopes of lines.

Mr. Slope Guy

Slope formula y2 - y1 x2 - x1 = m m = rise = change in y = ∆y run change in x ∆x

Postulates 17. Slopes of || Lines 18. Slopes of ⊥ Lines In a coordinate plane, two nonvertical lines are || iff they have the same m. Any two vertical lines are ||. 18. Slopes of ⊥ Lines In a coordinate plane, two nonvertical lines are ⊥ iff the product of their slopes is -1. Horizontal lines are ⊥ to vertical lines.

Which lines are ||? line k has points on (-2,4), (-3,0) line n has points on (4,5), (3,1) line p has points on (6,3), (5, -2) m = 4 Find the m for each line to determine if any are ||. m = 4 m = 5

⊥ lines line h has points at (7,6), (5,3), (3,0) draw a line ⊥ to line h *⊥ lines have opposite reciprocal m. First, determine the slope of the green line. m = 3/2 so ⊥m has to be -⅔