Question

which of the following lines is parallel to the line $y = -\frac{1}{2}x + 6$?\
\
$\bigcirc$ $y = 2x + 6$\
\
$\bigcirc$ $y = -\frac{1}{2}x - 3$\
\
$\bigcirc$ $y = \frac{1}{2}x + 4$\
\
$\bigcirc$ $y = -2x + 1$

Explanation:

Step1: Recall parallel line rule

Parallel lines have equal slopes.

Step2: Identify given line's slope

The line $y=-\frac{1}{2}x+6$ has slope $m=-\frac{1}{2}$.

Step3: Match slope to options

Find the option with slope $-\frac{1}{2}$.

Answer:

y=-1/2x-3