Question

question 1 pts
which equation represents a line that is perpendicular to the graph of
y = \frac{2}{5}x - 1?
\textcircled{a} $y = \frac{2}{5}x - 4$
\textcircled{b} $y = -\frac{5}{2}x - 4$
\textcircled{c} $y = -\frac{2}{5}x - 4$
\textcircled{d} $y = \frac{5}{2}x - 4$

b
c
https://newschool.instructure.com/courses/1875078/quizzes/11657601/read_only

Explanation:

Step1: Find original slope

Original equation \( y = \frac{2}{5}x - 1 \) has slope \( m_1 = \frac{2}{5} \).

Step2: Calculate perpendicular slope

Perpendicular slope \( m_2 = -\frac{1}{m_1} = -\frac{5}{2} \).

Step3: Match option with slope

Option B has slope \( -\frac{5}{2} \).

Answer:

B. \( y = -\frac{5}{2}x - 4 \)