Question

determine whether each pair of lines is parallel, perpendicular, or neither.
x - 2y = -2
y = 2x - 6

choose the correct answer below.
parallel
perpendicular
neither

Explanation:

Step1: Rewrite first line to slope-intercept form

Solve $x - 2y = -2$ for $y$:
$-2y = -x - 2$
$y = \frac{1}{2}x + 1$

Step2: Identify slopes of both lines

Slope of first line: $m_1 = \frac{1}{2}$
Slope of second line $y=2x-6$: $m_2 = 2$

Step3: Check parallel/perpendicular conditions

Parallel: $m_1 = m_2$? $\frac{1}{2}
eq 2$, so no.
Perpendicular: $m_1 \cdot m_2 = -1$? $\frac{1}{2} \times 2 = 1
eq -1$, so no.

Answer:

neither