Question
Consider the line \( y=8 x-9 \). What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? Slope of a parallel line: Slope of a perpendicular line:
Ask by Park Salinas. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Slope of a parallel line: 8
Slope of a perpendicular line: -1/8
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Beyond the Answer
The slope of the given line \( y = 8x - 9 \) is 8. Lines that are parallel share the same slope, so the slope of a line parallel to this one will also be 8. To find the slope of a line that is perpendicular, we take the negative reciprocal of the slope of the original line. Since the slope of the given line is 8, the slope of a line perpendicular to it is \( -\frac{1}{8} \). Slope of a parallel line: 8 Slope of a perpendicular line: \(-\frac{1}{8}\)