Question

identify the relationship between the graphs of these two equations. y = 5x - 3 y + 5x = 1 click on the correct answer. parallel perpendicular neither

Explanation:

Step1: Find slopes of both lines

First equation: \( y = 5x - 3 \) is in slope - intercept form \( y=mx + b \), so slope \( m_1=5 \).
Second equation: \( y + 5x=1 \) can be rewritten as \( y=- 5x + 1 \), so slope \( m_2=-5 \).

Step2: Check parallel and perpendicular conditions

• For parallel lines, slopes must be equal (\( m_1 = m_2 \)). Here \( 5

eq - 5 \), so not parallel.

• For perpendicular lines, the product of slopes should be \(- 1\) (\( m_1\times m_2=-1 \)). Calculate \( m_1\times m_2=5\times(-5)=-25

eq - 1 \), so not perpendicular.

Answer:

neither