determine if the lines are parallel, perpendicular, or neither.\nl1: y - 4x = - 3\nl2: 4x + y = 2\nare the…

Explanation:

Step1: Rewrite equations in slope - intercept form

For $L_1: y - 4x=-3$, we get $y = 4x - 3$, so the slope $m_1 = 4$. For $L_2: 4x + y=2$, we get $y=-4x + 2$, so the slope $m_2=-4$.

Step2: Check parallel and perpendicular conditions

Parallel lines have equal slopes. Since $m_1\neq m_2$, they are not parallel. Perpendicular lines have slopes such that $m_1\times m_2=- 1$. Here, $m_1\times m_2=4\times(-4)=-16\neq - 1$, so they are not perpendicular.

Answer:

Neither