Lesson 21: Point-Slope Form MAFS.912.A.3.8 Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points,

Slides:

Advertisements

Similar presentations

4-7B Perpendicular Lines Algebra 1 Glencoe McGraw-HillLinda Stamper.

Advertisements

5.7 Parallel and Perpendicular Lines

Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals.

Lesson 5.1 Write Equations in Slope-Intercept Form.

Chapter 4.7: Graphing a Line using Slope-Intercept, Part 1.

Writing and Graphing Equations of Lines

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.

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)

Warm Up Find the slope of the line containing each pair of points.

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

Bellwork Find the slope of the line containing the points (-1,12) and (5,-6). Find the product of the slope and y-intercept for the line y=-5x+7. Write.

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

5.4 Point Slope Form.

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

Warm Up Identify which lines are parallel.

Learning Target Graph a line and write a linear equation using point-slope form and write a linear equation given two points.

The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.

Point-Slope Form of a Linear Equation. Point-Slope Form In most textbooks the graphing form for a linear equation is called Point-Slope Form and is the.

Warm-Up Find the slope of the line that passes through the two points:

Bell Activity Solutions. What is the slope of the graph? 2/3.

Review of lines Section 2-A. Slope (m) of a line Let P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) be points on a nonvertical line, L. The slope of L is.

Converting between Standard form and Slope-Intercept form Graphing Unit.

Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept.

Writing the Equation of a Line

Slope-Intercept Form of a Line

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 10 Graphing Equations and Inequalities.

Warm-up You are driving on a road trip and you want to find out how many hours total it will take you to get to California. After driving for 4 hours,

Trigonometry/ Pre-Calculus Chapter P: Prerequisites Section P.3: Lines in the Plane.

Lesson 3-6/3-7: More Equations of Lines (parallel and perpendicular) Objective Students will: Write equations given two points State the slope and y-intercept.

Day Problems Graph each equation.

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

1.Given slope (m) and y-intercept (b) create the equation in slope- intercept form. 2. Look at a graph and write an equation of a line in slope- intercept.

3.6 Finding the Equation of a Line

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

Warm Up Find the value of m B Writing the Equation of the Line.

 Lesson 4: Equations of Lines. Slope and y-intercept Two ordered-pairs (one is y-intercept) Two ordered-pairs (neither is y-intercept) m = -4 y-intercept.

Date Equations of Parallel and Perpendicular Lines.

Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.

§ 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.

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

Solve each equation for y. 1. 3x + y = 52. y – 2x = x – y = x + 4y = 85. 9y + 3x = 16. 5y – 2x = 4 Clear each equation of decimals x.

Warm – up #3 1. Write an equation of a line with slope 4 and y-intercept at (0, -3) 2. Write 12 – y = 2x – 5 in slope- intercept form. What are the slope.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

Graphing Test Review Algebra.

Review #1. SOLVING LINEAR EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES  Multi-Step Equations  Solve each equation. Check your solution.  1) 4x – 12.

Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept.

Chapter 5:Write the equation of a line Given Two Points.

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

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.

Linear Equations  Know your rules for solving equations  If fractions, multiply through by LCD  Distribute values to parentheses  What you do on one.

Geometry Section 3.7 cont. “Writing Equations of Lines”

Writing Linear Equations (Slope- Intercept Form).

Chapter 5, What Linear Equations are all about Winter, (brrrr…)

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.

Parallel & Perpendicular Lines

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

Parallel and Perpendicular Lines Honors Math – Grade 8.

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

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

Algebra 1 Foundations, pg 338  Students will be able to write and graph linear equations using point-slope form.

4-5B Write an Equation in Standard Form and in Slope- Intercept Form Algebra 1 Glencoe McGraw-HillLinda Stamper.

Slope-intercept Form to Standard Form and Standard Form to Slope-intercept Form Robert Conyer Algebra II.

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.

CHAPTER 5 QUIZ 1 REVIEW FEBRUARY 10, WRITE AN EQUATION OF A LINE IN SLOPE-INTERCEPT FORM WITH THE GIVEN SLOPE AND A POINT.  HINT: IN ORDER TO BE.

Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.

In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.

LESSON 20 PREREQ B: Writing the Equation of a Line.

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.

Lesson 3.2 Solving Equations with Multiplication and Division

Presentation transcript:

Lesson 21: Point-Slope Form MAFS.912.A.3.8 Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form.

Bellwork:

Changing from point slope form to slope-intercept form: Clear the fraction, if any, by multiplying everything except the inside of the parentheses by the denominator. Distribute Move the X term to the right side by doing the opposite of it. Divide every term by the number attached to y. Examples: