Determining Equations Of Lines Nov 20
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DMCIThis document discusses how to determine the equation of a line given either its slope and y-intercept or a point and slope. It provides examples of finding the equation in slope-intercept form when given the slope and y-intercept or when given a point on the line and its slope. The document also includes an exercise problem asking whether a point lies on a line with a given equation.
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Here are the steps to solve these problems:
1. Find the slopes of the two lines:
m1 = (8-2)/(5--2) = 6/3 = 2 (slope of r)
m2 = (7-0)/(-8--2) = 7/-6 = -1 (slope of s)
The slopes are negative reciprocals, so r ⊥ s.
2. The slopes are m1 = 2 and m2 = -1/2. Since m1 × m2 = -1, the lines are perpendicular.
3. The given line has slope 3. The perpendicular line will have slope -1/3. Plug into the point-slope form
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(8) Lesson 3.6
This document provides an example problem set for students to practice using the guess, check, and revise strategy to solve word problems involving linear equations. The first problem involves finding two consecutive odd integers whose product is 3,363. The second problem involves calculating how many souvenirs a person bought spending $22.05 if they bought at least one of each type. The third problem involves finding a number whose square is 729. The fourth problem involves calculating how many quarters, dimes, and nickels someone has with $2.30 and a total of 19 coins.
03 Parallel and Perpendicular Lines.pptx
03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptxV03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptxV03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pptx03 Parallel and Perpendicular Lines.pp
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Determining Equations Of Lines Nov 20
- 1. 1 Determining Equations of Lines
- 2. 2 Determining Equations of Lines "work backwards" to find the equation of the line, given the following: I. slope, yintercept II. point, slope Example: (given: slope, yintercept) • Find the equation of the line with slope of 2/3 and the yintercept of 1. answer in standard form
- 4. 4 Examples: (given: point, slope) • Find the equation of the line given a point (3, 2) on the line, and a slope of 3/5
- 5. 5 • Find the slope-intercept form of equation where the line with a slope 1/3 passes through the point (1, 4)
- 6. 6 • Find the slope-intercept form of equation where the line with a slope 1/3 passes through the point (1, 4)
- 9. 9
- 10. 10