MS Algebra A-F-IF-7 – Ch. 6.5a Write Equations of Parallel Lines ALGEBRA SUPPORT (Homework) Write Equations of Parallel Lines

SUPPORT Learning Target Title: 6.5a Write Equations of Parallel Lines Date: SUPPORT 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

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

Step 1: Identify the slope. HW # 3 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. (-1, 3), y = 2x + 2

Step 1: Identify the slope. HW # 4 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. (6, 8), y = -(5/2)x + 10

Step 1: Identify the slope. HW # 5 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. (5, -1), y = -(3/5)x – 3

Step 1: Identify the slope. HW # 6 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. (-1, 2), y = 5x + 4

Step 1: Identify the slope. HW # 7 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. (1, 7), -6x + y = -1

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 ________ _______________________________________________ ______________________________________________.

Line A: y = (2/3)x – 1 Line B: y = (2/3)x + 1 HW # 14 Determine which lines, if any, are parallel. Line A: y = (2/3)x – 1 Line B: y = (2/3)x + 1

HW # 31 Step 1: Calculate the slope between two points. Multiple Choice What is an equation of the line that passes through (0, 0) and is parallel to the line that passes through (2, 3) and (6, 1)? Show your work! y = ½x y = -½x y = -2x y = 2x

HW # 34 Step 1: For the 1st line, calculate the slope between two points. Step 2: For the 2nd line, calculate the slope between two points. Step 1: Compare the slopes from the two lines. Is the line through the points (1, 3) and (3, 7) parallel to the line through the points (5, 9) and (7, 13)? Justify your answer using slopes! m1 = m2 Y2 – Y1 Y3 – Y4 m1 = m2 = X2 – X1 X3 – X4

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

SUPPORT Learning Target Title: 6.5a Write Equations of Parallel Lines Date: SUPPORT 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.