Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500.

Slides:



Advertisements
Similar presentations
A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change
Advertisements

4-7B Perpendicular Lines Algebra 1 Glencoe McGraw-HillLinda Stamper.
Slope of Parallel and Perpendicular Lines Geometry 17.0 – Students prove theorems by using coordinate geometry, including various forms of equations of.
5.7 Parallel and Perpendicular Lines
Write an equation given the slope and a point EXAMPLE 2 Write an equation of the line that passes through (5, 4) and has a slope of –3. Because you know.
Linear Functions.
Graphing Lines Dr. Carol A. Marinas.
3.5 Lines in the Coordinate Plane
Copyright © Cengage Learning. All rights reserved.
2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
Writing Linear Equations Group Competition. State the Slope and Y-Intercept #1.
Equations of lines.
2.3 Linear Functions.
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.
Copyright © Cengage Learning. All rights reserved. 1.1 Lines in the Plane.
Section 3.2 Special Forms of Linear Equations in Two Variables.
Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.
Section 1.1 Slopes and Equations of Lines
Day Problems Graph each equation.
1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =
HPC 1.6 Notes Learning Targets: - Interpret the slope of a line - Write equations in slope-intercept form - Write equations in point-slope form.
Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.
Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.
Point-Slope Formula Writing an Equation of a line Using the Point-Slope Formula.
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.
Lines. Slope Measure of units the line rises for each unit of horizontal change - symbol (m) m = Δy = y 2 – y 1 Δx x 2 – x 1 if x 2 = x 1 then m is undefined.
Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.
For the line that passes through points (-4, 3) and (-2, 4).
Pre-Calc w/Trig Problem of the Day Find the Slope and y-intercept of the following 4(y – 6) + 8y – 2x = 4(y – 5) Answer: y = ¼ x + ½ So m = ¼ and b = ½.
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)
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
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.
Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write.
Functions and Their Graphs 1.1 Lines in the Plane.
Linear Flyswatter First player to slap the correct answer to the problem on the top of the slide gets a point for his or her team.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
Notes A7 Review of Linear Functions. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt FunctionsSlopeGraphs.
Geometry Section 3.7 cont. “Writing Equations of 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.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
Geo A Chapter 7 Writing Linear Equations Write the point-slope form of the line that passes through the point (-3, -1) and has a slope of 1.
Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )
Lines in the Coordinate Plane
Warm-Up 5 minutes 1. Graph the line y = 3x + 4.
Write Equations of Parallel and Perpendicular Lines
I can determine when lines are parallel and write equations of parallel lines.
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
Parallel and Perpendicular Lines UNIT 2 REVIEW GEOMETRY.
Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and y = 0 Solve each equation for y.
1.4 Graphing Lines If real is what you can feel, smell, taste, and see, then “real” is simply electrical signals interpreted by the brain. -Morpheus.
EXAMPLE 2 Determine whether lines are parallel or perpendicular Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:
Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.
Parallel and Perpendicular Lines. 1. Fill in the chart with the missing slopes. (similar to p.234 #22) Slope of the Given Line Slope of a Line Parallel.
SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?
Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
Perpendicular and Parallel Lines. Parallel and Perpendicular Lines are parallel when they have the same slope Lines are perpendicular when the product.
Objective - To write equations given the slope and a point using Point-Slope Form. Point-Slope Form Write the equation of a line in point-slope form that.
1.3 Linear Equations in Two Variables. I. Using Slope.
Everything You Will Ever Need To Know About Linear Equations* *Whether You Wanted To Know It Or Not!
Warm Up! – Graph the line that satisfies each condition
POINTS AND LINES ON THE COORDINATE PLANE
Writing Equations of Lines
Presentation transcript:

Ms. Ballinger ’ s Advanced Geometry Class!!

Slope Equations of Lines Parallel and Perpendicular Lines Etc

Find the slope of the line that contains the points (-1, 9) and (4, 5). m = - 4/5

Write the equation of a line with a slope of 3 containing the point (0,-7). Write the equation in slope-intercept form. y = 3x - 7

Identify the slope of every line parallel to the line 4x – 6y = 18. m = 2/3

Determine whether the point is on the line. Show work to support your answer. -5x + 3y = -8; (2,6) NO!!

What is the slope of a horizontal line? m = 0

y – 5 = - 4(x + 1) Write the equation of a line with a slope of -4 containing the point (-1, 5). Write the equation in point-slope form.

Identify the slope of every line perpendicular to the line y – 6 = 3(x + 1). m = -(1/3)

Given the point (2, 9) is on the line, determine the B value of the line below. 4x + By = -10 B = -2

Identify the slope of the line 3x – 4y = 20. m = 3/4

Write the equation of any horizontal line. Answers will vary. The equation must be in the form y = ___.

Write the equation of the line parallel to the line 3x – 6y = 30 containing the point (2, -7). The equation should be written in slope-intercept form. y =(1/2)x - 8

Identify the coordinates of the x-intercept of the line below. 5x + 2y = -30 (-6, 0)

A line has a slope of. It contains the points A(2,5) and B(-1,y). Identify the y-coordinate of point B. y = 3

Write the equation of the vertical line that contains the point (-7, 2). x = -7

Write the equation of the line parallel to the line y = 3 containing the point (-1, -5). y = -5

Write the equation of the line (in slope-intercept form) perpendicular to the line y = x passing through the origin. y = -x

Identify the slope of the line that contains the points (-3,6) and (-3,-1) The slope of a vertical line is undefined!

Write the equation of the line that contains the points (-4,7) and (5,1). The equation should be written in point-slope form. y – 7 = (-2/3)(x + 4) or y – 1 = (-2/3)(x – 5)

Write the equation of the line perpendicular to the line 4x – 3y = 15 containing the point (8, 1). The equation should be written in point-slope form. y – 1 = (-3/4)(x – 8)

What is the name of Miss Clum ’ s younger sister? Katie!