4-4 Parallel and Perpendicular Lines (Alg 1)

1 4-4 Parallel and Perpendicular LinesLet s review what you know about Lines : Slope-Intercept Form*I can put any equation in slope-intercept form by _____ ___ __. When I do this, I can easily see it s _____ and Form *All I need to write the equation of any line is a _____ and a _____. I can use point-slope form to write the equation and then put it in any form that I m being asked for (slope-intercept or standard).* Parallel Lines have the _____ _____.* Perpendicular Lines have slopes that are _____ _____ of each check: - line k has slope . line r is Parallel to line k, and line s is Perpendicular to line k.

2 What are the slopes of line r? _____ and line s? _____Ex. 2 CYP On the plans for a treehouse, a beam represented by has endpoints Q(-6, 2) and R(-1, 8). A connecting beam represented by has endpoints S(-3, 6) and T(-8, 5). Are the beams Perpendicular ? Explain.**Do not graph these and go by what you see. The angle could be degrees instead of 90, and your eyes won t catch it. You MUST find the slope of each beam and determine from the numerical slopes whether or not they are Perpendicular . On practice problems and homework, even if you are given a picture, you still must find the numeric slope to determine if Parallel or Perpendicular .

3 Ex. 3 CYP Determine whether the graphs of 6x - 2y = -2, y = 3x - 4, and y = 4 are Parallel or Perpendicular . Explain.(4-2)QRSTEx. 1 CYP Write an equation in point-slope form for the line that passes through (4, -1) and is Parallel to the graph of y = x + 7. (Remember all you need is a point and a slope. The point is obvious. How did they give you the slope?) : To check, you can enter the above equation and the one you found on your calculator and see if they look Parallel and if the one you found goes through the given point (use the trace function).Ex. 4 CYP Write an equation in slope-intercept form for the line that passes through (4, 7) and is Perpendicular to the graph of y = x - 4A Write an equation in slope-intercept form for the line that passes through (4, -1) and is Perpendicular to the graph of 7x - 2y = 3.

4 (How can you find the slope?)(4-2)Biblical Integration Parallel thinking vs. Christ in you, the hope of gloryAll truth is God's truth. When we know truth in one area, God will often use that understanding to give insight into other areas of His truth. -When two Lines have the same slope, they are either Parallel (never intersect), or they are the same line . Similarly, it is possible to have an intellectual understanding of the words of the Bible, and even agree with them 100%, and yet never intersect the Word Himself. This is trick played on your mind to make you believe you are experiencing a life in Christ, to convince you to exchange a reality for the intellectual stimulation of the knowledge of that is not a is a Person.

5 Jesus is more than a good example to follow. If you have traded your sinfulness for His righteousness by faith in His Name and made Him your King, then He is in you, and you in Him, through the Holy Spirit. If you will personally ask Him to help you understand this, He will begin to reveal Himself IN you, and you will find newness of life through His eyes, thinking with His mind, perceiving through His heart, and communing with His Spirit. The abiding life is a life of unimaginably utter dependence on Him."Come to of Me, for I am gentle and humble of heart. You will find rest for your soul." Problems for Practice: 15, 17, 25, 31, 35, 39 Complete on notebook paper or the back of these printed notes, in notes section of binder.

6 Check with the back of the book. Place a colored check by correct answers. Correct incorrect answers to the right. Use Hotmath if you need help. USE YOUR NOTES AS YOU WORK THESE!!!Also complete/check the following Spiral/Skills Review: 57, *Don t forget that extra examples and even a personal tutor explaining examples can be found on your textbook website. Links found on syllabus. (4-2)