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QUESTION IMAGE

identify the relationship between the graphs of these two equations. ( …

Question

identify the relationship between the graphs of these two equations.
( y = -5x - 2 )
( y - 5x = 4 )
click on the correct answer.
parallel
perpendicular
neither

Explanation:

Step1: Find slopes of lines

First equation: \( y = -5x - 2 \), slope \( m_1 = -5 \).
Second equation: \( y - 5x = 4 \) → \( y = 5x + 4 \), slope \( m_2 = 5 \).

Step2: Check parallel/perpendicular

  • Parallel: \( m_1 = m_2 \)? \( -5

eq 5 \), no.

  • Perpendicular: \( m_1 \cdot m_2 = -1 \)? \( (-5)(5) = -25

eq -1 \), no.

Answer:

neither