24 Which of the equations are perpendicular to y = 8x + 1? Circle your answers. M. y − 1 = (x+3) N. y-2=-8(x - 1) P. 8y = -4x S. 8x+y = 13 V. y-8= 4x Q. x = -8 T. x+8y=-3 W. y = -x + 5 O. -8y = x + 2 R. y + 4 = 8(x+7) U. y = -1/ X. A line that goes through (3,2) and (-5,-6)
24 Which of the equations are perpendicular to y = 8x + 1? Circle your answers. M. y − 1 = (x+3) N. y-2=-8(x - 1) P. 8y = -4x S. 8x+y = 13 V. y-8= 4x Q. x = -8 T. x+8y=-3 W. y = -x + 5 O. -8y = x + 2 R. y + 4 = 8(x+7) U. y = -1/ X. A line that goes through (3,2) and (-5,-6)
Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which of the equations are perpendicular to y=8x+1
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Transcribed Image Text:**Question 24: Identifying Perpendicular Equations**
The task is to determine which of the given equations are perpendicular to the equation \( y = 8x + 1 \). You should circle the correct answers from the options provided.
**Equations:**
- **M.** \( y - 1 = \frac{1}{8}(x + 3) \)
- **N.** \( y - 2 = -8(x - 1) \)
- **O.** \(-8y = x + 2\)
- **P.** \( 8y = -4x \)
- **Q.** \( x = -8 \)
- **R.** \( y + 4 = 8(x + 7) \)
- **S.** \( 8x + y = 13 \)
- **T.** \( x + 8y = -3 \)
- **U.** \( y = -\frac{1}{8} \)
- **V.** \( y - 8 = 4x \)
- **W.** \( y = -\frac{1}{8}x + 5 \)
- **X.** A line that goes through \((3, 2)\) and \((-5, -6)\)
**Instructions:**
To determine which equations are perpendicular, remember:
- The original line has a slope of 8.
- Perpendicular lines have slopes that are negative reciprocals.
- Therefore, the slope of the perpendicular line should be \(-\frac{1}{8}\).
Evaluate each option based on whether its slope is \(-\frac{1}{8}\).
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