Question

identify the relationship between the graphs of these two equations. y = 2x + 7 y + 2x = -1 click on the correct answer. parallel perpendicular neither

Explanation:

Step1: Find slopes of lines

For \( y = 2x + 7 \), slope \( m_1 = 2 \) (from \( y = mx + b \)).
For \( y + 2x = -1 \), rewrite as \( y = -2x - 1 \), slope \( m_2 = -2 \).

Step2: Check parallel/perpendicular

• Parallel: \( m_1 = m_2 \)? \( 2

eq -2 \), not parallel.

• Perpendicular: \( m_1 \cdot m_2 = -1 \)? \( 2 \cdot (-2) = -4

eq -1 \), not perpendicular.

Answer:

neither