Slope of Parallel and Perpendicular Lines Geometry 17.0 – Students prove theorems by using coordinate geometry, including various forms of equations of.

Slides:

Advertisements

Similar presentations

Write an equation given the slope and a point

Advertisements

4.4 – Parallel & Perpendicular Lines. Parallel Lines.

5.6 Parallel and Perpendicular Lines

1.4: equations of lines CCSS:

5.7 Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Writing equations given slope and point

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.

Objectives Use slope-intercept form and point-slope form to write linear functions. Write linear functions to solve problems. Recall from Lesson 2-3 that.

Introduction The slopes of parallel lines are always equal, whereas the slopes of perpendicular lines are always opposite reciprocals. It is important.

Table of Contents Lines: Point-Slope Equation The point-slope equation of a nonvertical line is y – y c = m(x – x c ). Here, m is the slope and x c, y.

The point-slope form of a linear equation of a nonvertical line is given by: Point-Slope Form of a Linear Equation.

Warm Up Identify which lines are parallel.

EXAMPLE 1 Write an equation of a line from a graph

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

1.2 Linear Equations in Two Variables

Writing the Equation of a Line

3.4 Equations of Lines.

Rewriting an equation in

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.

Lesson 5.6 Point-Slope Form of the Equation of a Line.

Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.

Daily Homework Quiz Review 5.3

Point-Slope Formula Writing an Equation of a line Using the Point-Slope Formula.

Parallel, Perpendicular, Horizontal, and Vertical Lines

2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:

Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.

2.5 Writing Equation of a Line Part 2 September 21, 2012.

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

Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m.

WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages

Section 6.6 What we are Learning:

Date Equations of Parallel and Perpendicular Lines.

2.4 Essential Questions What is the point-slope form?

For the line that passes through points (-4, 3) and (-2, 4).

§ 2.5 Equations of Lines. Martin-Gay, Intermediate Algebra: A Graphing Approach, 4ed 22 Slope-Intercept Form of a line y = mx + b has a slope of m and.

2.4 W RITING L INEAR F UNCTIONS Use slope-intercept form and point-slope form to write linear functions. Write linear functions to solve problems. Objectives.

GEOMETRY HELP Find and compare the slopes of the lines. Each line has slope –1. The y-intercepts are 3 and –7. The lines have the same slope and different.

Writing an Equation of a Line I can…. determine the equation of a line and/or graph a linear equation Unit 1 Basics of Geometry.

Algebra 5.5 Point-Slope Form. Point-Slope Form A formula used to find the linear equation when given a point on the line and the slope of the line. Point-Slope.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

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 )

Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz

Lines in the Coordinate Plane

2.3 Equations of Lines Going the other direction – from a picture to the equation.

Section P.2 – Linear Models and Rates of Change. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

Parallel & Perpendicular Lines

Warm-Up 5 minutes 1. Graph the line y = 3x + 4.

Geometry 5 March 2013 Place your Coordinate Geometry Project on your desk. Check answers- ½ are posted. Questions? Warm Up- Linear Equations Review Handout.

Splash Screen. Then/Now You wrote equations in point-slope form. Write an equation of the line that passes through a given point, parallel to a given.

Parallel and Perpendicular Lines Honors Math – Grade 8.

To write another equivalent equation, multiply each side by x – 12y = 8 To write one equivalent equation, multiply each side by 2. SOLUTION Write.

Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.

2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

Equations of Lines Part 2 Students will: Write slope intercept form given a point and a slope 1.

Holt McDougal Algebra Point-Slope Form Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

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.

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.

Aim: How do we find points of intersection? What is slope? Do Now: Is the function odd, even or neither? 1)y - x² = 7 2)y = 6x - x⁷ 3)y = √ x⁴ - x⁶ 4)Find.

Warm Up! – Graph the line that satisfies each condition

Parallel and Perpendicular Lines

OBJECTIVE I will use slope-intercept form to write an equation of a line.

3.5 Write and Graph Equations of Lines

SLOPE OF A LINE.

Writing Linear Equations Given Two Points

Geometry Section 3.5.

Substitute either point and the slope into the slope-intercept form.

Writing Equations of Lines

Presentation transcript:

Slope of Parallel and Perpendicular Lines Geometry 17.0 – Students prove theorems by using coordinate geometry, including various forms of equations of lines.

Find the Slope of a line parallel

Find the Slope of a line perpendicular

Step 1: To find the slope of the line, rewrite the equation in slope-intercept form. 6x – 3y = 9 –3y = –6x + 9 Subtract 6x from each side. y = 2x – 3 Divide each side by –3. The line 6x – 3y = 9 has slope 2. Step 2: Use point-slope form to write an equation for the new line. y – y 1 = m(x – x 1 ) y – (–8) = 2(x – (–5)) Substitute 2 for m and (–5, –8) for (x 1, y 1 ). y + 8 = 2(x + 5) Simplify.

Step 1: To find the slope of the given line, rewrite the equation in slope-intercept form. 5x + 2y = 1 2y = –5x + 1 Subtract 5x from each side. y = – x + Divide each side by Step 2: Find the slope of a line perpendicular to 5x + 2y = 1. Let m be the slope of the perpendicular line. Step 3: Use point-slope form, y – y 1 = m(x – x 1 ), to write an equation for the new line.