Question

identify the relationship between the graphs of these two equations.
$y = -6x + 4$
$y - 6x = 3$
click on the correct answer.
parallel
perpendicular
neither

Explanation:

Step1: Find slopes of both lines

For the first line \( y = -6x + 4 \), the slope (\( m_1 \)) is \( -6 \) (from slope - intercept form \( y=mx + c \)).
For the second line \( y - 6x = 3 \), rewrite it as \( y = 6x + 3 \). So, the slope (\( m_2 \)) is \( 6 \).

Step2: Check parallel/perpendicular conditions

• Parallel lines have equal slopes (\( m_1 = m_2 \)). Here, \( -6

eq6 \), so not parallel.

• Perpendicular lines satisfy \( m_1\times m_2=-1 \). Calculate \( (-6)\times(6)= - 36

eq - 1 \), so not perpendicular.

Answer:

neither