Notes: Lesson 5-6 A Objective: Write an equation for a line through a given point that is parallel to a given line. Lines that don’t touch because they.

Slides:

Advertisements

Similar presentations

Parallel and Perpendicular Lines

Advertisements

5.6 Parallel and Perpendicular Lines

Bellwork Partner Activity for graphing.

1. (1, 4), (6, –1) ANSWER Y = -x (-1, -2), (2, 7) ANSWER

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.

Lesson 5.1 Write Equations in Slope-Intercept Form.

The slope-intercept form of a line: y = mx + b. Graph the following family of lines using the graphing calculator: 1.y = 3x y = 5x y = -4.

Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.

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.

4.7 Graphing Using Slope-Intercept Form. Hopefully you remember from last section, that we can graph a line easily when given: 1. a random point 2. the.

11.6 The Slope Intercept Form

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

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

Writing Linear Equation using slope-intercept form.

Chapter Point slope Form.

Aim: Converting linear equations into Slope- Intercept Form Do Now: 1) Define Slope 2) Define y-intercept It’s easier than you think…

Write an equation given two points

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

Warm Up Identify the slope and y-intercept 1. -3x + 5y = 9 Graph the equation x + 4y = x + 7y = 7.

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.

Writing equations given a point and the slope of a line

Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

2.4 Writing Equations for Linear Lines

Algebra 3 Lesson 1.3 Objectives: SSBAT write the equation of a line given the slope and y-intercept. SSBAT write the equation of a line given the slope.

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

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

2.4 Essential Questions What is the point-slope form?

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.

Point-Slope Form. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept.

2.5.1 – Writing Equations of Lines. Given certain information, we must now be able to write our own equations of graphs Still try and use the forms of.

Geometry Lesson 3 – 4 Equations of Lines Objective: Write an equation of a line given information about the graph. Solve problems by writing equations.

WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.

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.

Graphing Linear Equations, Point- Slope Form, and Parallel/Perpendicular lines REVIEW Algebra Honors Mr Smith.

WRITE LINEAR EQUATIONS IN SLOPE- INTERCEPT FORM December 2, 2013 Pages

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Equations of Lines (rearranging the furniture). There are three different forms of the equation of a line. Two are for “show”: slope-intercept equation.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

Equations of Lines LF.2.AC.7: Write an equation given two points, a point and y-intercept, a point and slope.

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

+ 2.5 Writing equations of lines Objective: Write linear equations.

Use point-slope form to write an equation EXAMPLE 3 Write an equation in point-slope form of the line shown.

When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.

Lesson 3-7: Parallel & Perpendicular Lines Objectives Students will: Use equations to determine if two lines are parallel or perpendicular Write an equation.

Writing equations given 2 points on the line. Write the equation of the line that goes through the points (1, 6) and (3, -4) m = y₂ - y₁ x₂ - x₁ -4 -

5.3 Write Linear Equations in Point-Slope Form Big Idea: -Verify that a point lies on a line, given an equation of a line. -Derive linear equations by.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

Point-Slope Formula I can write an equation given a point and the slope.

Point-Slope Form Linear Equations in Two Variables.

Algebra 1 Section 5.6 Write linear equations in standard form Recall: Forms of linear equations Standard Slope-intercept Point-slope Graph 4x – 3y = 6.

Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.

Graphing Lines Using Slope-Intercept Form

Slope Intercept Form Algebra

Algebra 1 Section 5.2 Write equations of lines given slope and a point

Writing Equations of a Line

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

Point-Slope Form Slope-Intercept Form

Writing the Equation of a Line

Determining an Equation of a Line

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

y = mx + b y – y1 = m (x – x1) Topic: Writing Equations given two

Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.

Homework Lesson 4.03_ pg 287_ #8-11.

Objectives: To graph lines using the slope-intercept equation

Slope Intercept Form Algebra 1 Unit 4 Lesson 2.

Open ended Question Review…

Presentation transcript:

Notes: Lesson 5-6 A Objective: Write an equation for a line through a given point that is parallel to a given line. Lines that don’t touch because they have the same slope.

Example: Before we do this example, let’s graph y = ½ x – 1 and include the point (4, -2) on the graph.

Example: Find the equation of the line that is parallel to the given line y = ½ x -1 but that goes through the point (4, -2) What is the equation of this line?

4 Steps: 1. Change the equation to slope-intercept form (y = mx +b). 2. Identify the slope 3. Write the new equation using the slope and given point. 4. Change to slope intercept form (solve for y). Given: y = ½ x - 1 m = 1/2 y – y 1 = m ( x – x 1 ) point-slope form is easy! y – (-2) = ½ ( x – 4) y + 2 = ½ x - 2 y = ½ x - 4 * already y = mx + b : ) ll m = 1/2

Try this: Find the equation of the line parallel to -3x + y = 4 that goes through the point (-2, 2). 1. slope intercept form (y = mx + b) y = 3x Identify m m = 3 ll m = 3 3. Write the new equation y – y 1 = m ( x – x 1 ) y – 2 = 3 ( x – (-2)) 4. Change to slope intercept form. y - 2 = 3 (x +2) y = 3x x + y = 4 +3x = +3x

Did you master today’s objective? Of course you did!!! Show your stuff with this last example:

Try this: Find the equation of the line parallel to y = 2x – 1 that goes through the point (1, -3). 1. slope intercept form (y = mx +b)y = 2x Identify mm = 2 ll m = 2 3. Write the new equation y – y 1 = m ( x – x 1 ) y – (-3) = 2 ( x – 1) 4. Change to slope intercept form. y + 3 = 2x - 2 y = 2x - 5

Lesson 5-6A, page 296 #14-24 evens Work must be shown! Leave answers in y = mx+b form! Assignment: