Question25J11 **Mathematics Quiz: Understanding Slopes of Perpendicular Lines****Question:**What is the slope of a line perpendicular to \( y = \frac{3}{4}x + 5 \)?**Options:**- **A.** \( -\frac{3}{4} \)- **B.** \( \frac{1}{5} \)- **C.** \( \frac{4}{3} \)- **D.** \( -\frac{4}{3} \)**Explanation:**To determine the slope of a line that is perpendicular to another line, you need to take the negative reciprocal of the original line's slope. The given equation is \( y = \frac{3}{4} x + 5 \), which has a slope of \( \frac{3}{4} \).The negative reciprocal of \( \frac{3}{4} \) is \( -\frac{4}{3} \).Therefore, the slope of a line perpendicular to \( y = \frac{3}{4}x + 5 \) is:**Answer: D. \( -\frac{4}{3} \)**

Name: Question25J11 **Mathematics Quiz: Understanding Slopes of Perpendicula
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Question25J11 **Mathematics Quiz: Understanding Slopes of Perpendicular Lines****Question:**What is the slope of a line perpendicular to \( y = \frac{3}{4}x + 5 \)?**Options:**- **A.** \( -\frac{3}{4} \)- **B.** \( \frac{1}{5} \)- **C.** \( \frac{4}{