There’s a quiz on the table. Please take one and get started.

Slides:

Advertisements

Similar presentations

When we are given two points, we can use the slope formula to find the slope of the line between them. Example: You are given the points (4, 7) and (2,

Advertisements

3.8 Slopes of Parallel and Perpendicular Lines

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.

Writing equations of parallel and perpendicular lines.

2.4.2 – Parallel, Perpendicular Lines

10.1 The Distance and Midpoint Formulas What you should learn: Goal1 Goal2 Find the distance between two points and find the midpoint of the line segment.

Lesson 1-2 Slopes of Lines. Objective: To find the slope of a line and to determine whether two lines are parallel, perpendicular, or neither.

Distance, Midpoint, & Slope. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:

2.2 Slope and Rate of Change Algebra 2 Mrs. Spitz Fall 2009.

Lesson 1-3 Formulas Lesson 1-3: Formulas.

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.

3.7 Perpendicular Lines in the Coordinate Plane

Equations of Lines in the Coordinate Plane

The Distance and Midpoint Formulas p Geometry Review! What is the difference between the symbols AB and AB? Segment AB The length of Segment AB.

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.

Slope Section 4.6 By Jessica McMinn, Lizzy Shields, and Taylor Ross.

Finding the Distance Between Two Points. Distance Formula Where does this formula come from and how do we use it? Consider the following example….

Everything You Will Ever Need To Know About Linear Equations*

3.6 Parallel 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.

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 =

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,

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.

Advanced Algebra Notes Section 2.2: Find Slope & Rate of Change The steepness of a line is called the lines The slope of a non-vertical line is: The slope.

Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, even) Quiz : Wednesday, 10/9.

3.01 – Review of Lines Flashing Back to Grade 10.

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.

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.

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

GRE: Graphical Representations

Parallel and Perpendicular Lines. Warm – up!! * As you walk in, please pick up a calculator and begin working on your warm –up! 1.What is the formula.

Linear Functions Lesson 2: Slope of Parallel and Perpendicular Lines.

Slope: Define slope: Slope is positive.Slope is negative. No slope. Zero slope. Slopes of parallel lines are the same (=). Slopes of perpendicular lines.

Daily Homework Quiz Graph each line. - x 3 2 y = 3– 1. y = 2x2x ANSWER.

Lesson 1-2 Slopes of Lines Object

13.1 The Distance Formulas. Review of Graphs Coordinate Plane.

1.5 Parallel and Perpendicular Lines on the Coordinate Plane

3.6 and 3.7 slopes of ll and Lines. Standard/Objectives: Standard 3: Students will learn and apply geometric concepts. Objectives: Find slopes of lines.

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.

Distance On a coordinate plane Finding the length of a line segment.

Lesson 2: Slope of Parallel and Perpendicular Lines

Perpendicular and Angle Bisectors

1-3 The Distance and Midpoint Formulas

Lesson 1-3 Formulas Lesson 1-3: Formulas.

Please pick up the yellow warm-up and get to work

9.1 Apply the Distance and Midpoint Formulas

Coordinate Plane Sections 1.3,

Coordinate Geometry & Algebra Review

Parallel Lines: SLOPES ARE THE SAME!!

9.1 Apply the Distance and Midpoint Formulas

Finding the Midpoint To discover the coordinates of the midpoint of a segment in terms of those of its endpoints To use coordinates of the midpoint of.

12/1/2018 Lesson 1-3 Formulas Lesson 1-3: Formulas.

Algebra 1 Review Linear Equations

1-6 Midpoint Find the midpoint of: DE: DC: AB: AE: (2+5) / 2 = 3.5

Parallel & Perpendicular Lines in the Coordinate Plane

The Distance and Midpoint Formulas

Graphing Linear Equations

Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints P(5, 2) and Q(1, –4). Step 1 Graph PQ. The perpendicular.

2-3 Slope Slope is “the change in y over the change in x” (vertical over horizontal). rise / run is the ‘m’ in y = mx + b.

Warm Up Find the value of m undefined.

5.4 Finding Linear Equations

Equations of Lines.

Section Slope and Rate of Change

6-6 Parallel and Perpendicular Lines

Functions Test Review.

Presentation transcript:

There’s a quiz on the table. Please take one and get started.

3.8 Analyzing Polygons with Coordinates First, some definitions

Slope (a review from Algebra I) ♥Slope is the steepness of a line. ♥Slope can be found using 2 points, (x 1, y 1 ) and (x 2, y 2 ), in the formula: y 2 – y 1 x 2 – x 1 ♥Slope is abbreviated by the letter ‘m’. ♥Slope is always referred to as ‘rise over run’. ♥In the equation y = mx + b, m is the slope of the line. ♥A line with positive slope rises from left to right. ♥A line with negative slope falls from left to right. Positive slope Negative slope

♥Find the slope of the line that contains the points (3, 4) and (-1, 0). 4 – 0 = 4 = ♥Find the slope of the line that contains the points (5, 24) and (1, 9) 24 – 9 = 15 5 – 1 4 Try this

Parallel and Perpendicular lines y = 3x + 5 y = -1/3x – 2 are perpendicular lines. DOUBLE WHAMMY!! NEGATIVE AND RECIPROCAL Lines are perpendicular if they have the NEGATIVE RECIPROCAL slope of each other. If lines have the SAME SLOPE, they are parallel. (All vertical lines are parallel). y = 3x + 10 y = 3x -45 are || lines

♥If one line has the points (1, 3) and (4,8) and another line has the points (3,5) and (6, 10), tell if the lines are parallel, perpendicular or neither. You have to check the slope in both lines. 3 – 8 = -5 = 5 1 – – 10 = -5 = 5 3 – Since the slope is 5/3 in both lines, the lines are parallel Try this

Midpoint Formula The midpoint of a segment whose endpoints are (x 1, y 1 ) and (x 2, y 2 ), has the coordinates x 1 + x 2 y 1 + y 2 2, 2 () Find the coordinate of the midpoint of the segment whose endpoints are (-4, 9) and (8, -10) (2, -1/2) Try this

Find the coordinate of the midpoint of the segment whose endpoints are (7, 12) and (0, -1) (3.5, 5.5) Try this

If a triangle has vertices at A (0, 1), B (5,4) and C (6, 0), how can you tell if it is a right triangle? You have to check the slope of each segment. If one is the negative reciprocal of the other, then there is a right angle in the triangle. Find the slope of AB 3/5 Find the slope of BC 4/-1 = -4 Find the slope of AC 1/-6 Is one slope the negative reciprocal of another? If so, we have a right triangle. Nope. No right triangle. More Practice (not hard, but it does take time)

Assignment Pg 194, evens and evens and odds