MS Algebra A-F-IF-7 – Ch. 6.5a Write Equations of Parallel Lines Mr. Deyo Write Equations of Parallel Lines

By the end of the period, I will write equations of parallel lines. Title: 6.5a Write Equations of Parallel Lines Date: Learning Target By the end of the period, I will write equations of parallel lines. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.5 Pg. 357-359 3) Section ______ TxtBk.Prob.#3,4,5,6,7,14,31,34 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: How are the two images similar? How are they different? How can these two images be related to math? IMAGE 1 IMAGE 2

Daily Warm-Up Exercises For use with pages xxx–xxx A store rents 3 DVDs for $5, plus $3 for each additional DVD. Find the cost of renting 20 DVDs. DVDs Cost 3 $5 4 $8 5 $11 20 ???

Daily Warm-Up Exercises For use with pages xxx–xxx A store rents 3 DVDs for $5, plus $3 for each additional DVD. Find the cost of renting 20 DVDs. DVDs Cost 3 $5 4 $8 5 $11 20 ??? ANSWER $56

Vocabulary Slope Parallel Lines Perpendicular Lines Slope-Intercept Form Point-Slope Form

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

m1 = m2 m1 = m2 Parallel Lines m1 = m2 = Notes: Two different non-vertical lines in the same plane are parallel if they have the same slope. m1 = m2 Y2 – Y1 Y3 – Y4 m1 = m2 = X2 – X1 X3 – X4 y – Y1 = m1(x – X1) y = m1x + b y – Y3 = m2(x – X3) y = m2x + b m1 = m2

y = x + 2 4 y = – x + 2 y = 1.5x – 1 5 3 1 5 4 y = x + 5 y = x – 3 Whole Class Multiple Choice Practice Which equation represents a line that is parallel to ? 4 y = x + 2 5 4 y = – x + 2 y = 1.5x – 1 5 3 1 5 4 y = x + 5 y = x – 3 10

The line is parallel to the line . y = x – 3 + 2 Whole Class Multiple Choice Practice SOLUTION The given line has a slope of . So, a line parallel to the given line has a slope of 5 4 . The line is parallel to the line . y = x – 3 5 4 + 2 ANSWER The correct answer is D.

Step 1: Identify the slope. Write an equation of a parallel line Problem A Step 2: Find the y-intercept Step 3: Write general y = mx + b equation Write an equation of the line that passes through (-3, -5) and is parallel to the line y = 3x – 1.

Problem A Write an equation of a parallel line SOLUTION Write an equation of the line that passes through (-3, -5) and is parallel to the line y = 3x – 1. STEP 1 Identify the slope. The graph of the given equation has a slope of 3. So, the parallel line through (-3, -5) has a slope of 3. STEP 2 Find the y-intercept. Use the slope and the given point. m x b = + y Write slope-intercept form. Substitute 3 for m, for x, and for y. 5 – 3 – 5 – 5 = 3 ( – 3 ) + b b = 4 Solve for b. STEP 3 Write an equation. Use y = mx + b y = 3x + 4 Substitute 3 for m and 4 for b.

Step 1: Identify the slope. Problem B Step 2: Find the y-intercept Step 3: Write general y = mx + b equation Write an equation of the line that passes through the given point and is parallel to the given line. (-2, 11), y = -x + 5

Step 1: Identify the slope. Problem B Step 2: Find the y-intercept Step 3: Write general y = mx + b equation Write an equation of the line that passes through the given point and is parallel to the given line. (-2, 11), y = -x + 5 ANSWER y = -x + 9

Storm Check (Think, Write, Discuss, Report) How can you verify mathematically if two lines are parallel? I can verify that two lines are parallel when ________ _______________________________________________ ______________________________________________.

Step 1: Identify the slope. Guided Practice Step 2: Find the y-intercept Step 3: Write general y = mx + b equation Write an equation of the line that passes through the given point and is parallel to the given line. (4, -2), y = - ½ x + 6

Step 1: Identify the slope. Guided Practice Step 2: Find the y-intercept Step 3: Write general y = mx + b equation Write an equation of the line that passes through the given point and is parallel to the given line. (4, -2), y = - ½ x + 6 ANSWER – y = 2 1 x

Vocabulary Slope Parallel Lines Perpendicular Lines Slope-Intercept Form Point-Slope Form

By the end of the period, I will write equations of parallel lines. Title: 6.5a Write Equations of Parallel Lines Date: Learning Target By the end of the period, I will write equations of parallel lines. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.5 Pg. 357-359 3) Section ______ TxtBk.Prob.#3,4,5,6,7,14,31,34 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Ticket Out Multiple Choice Which line is parallel to the line y = -2x + 4 ? Explain your answer. y = -2x – 5 y = -2x + 4 y = 2x – 3 y = 2x + 4 The two lines are parallel because _____________________ __________________________________________________ _________________________________________________.

They have the same slopes. Ticket Out Multiple Choice Which line is parallel to the line y = -2x + 4 ? y = -2x – 5 y = -2x + 4 y = 2x – 3 y = 2x + 4 ANSWER A They have the same slopes.