Identify which two lines are parallel. (1 point) $$ \begin{array}{l}y=\frac{2}{3} x-6 ext { and } y=-\frac{3}{2} x-6 \ y=\frac{1}{2} x+3 ext { and } y=\frac{1}{2} x-5 \ y=\frac{1}{3} x+4 ext { and } y=\frac{1}{3} x+4 \ y=-\frac{1}{2} x+6 ext { and } y=\frac{1}{2} x-8\end{array} $$

Question

Identify which two lines are parallel. (1 point) $$ \begin{array}{l}y=\frac{2}{3} x-6 	ext { and } y=-\frac{3}{2} x-6 \ y=\frac{1}{2} x+3 	ext { and } y=\frac{1}{2} x-5 \ y=\frac{1}{3} x+4 	ext { and } y=\frac{1}{3} x+4 \ y=-\frac{1}{2} x+6 	ext { and } y=\frac{1}{2} x-8\end{array} $$

UpStudy AI · Accepted Answer

The parallel lines are:

$$
y = \frac{1}{2}x + 3 \quad \text{and} \quad y = \frac{1}{2}x - 5
$$

**Reasoning:**
Two lines are parallel if they have the same slope.

- Both lines have a slope of $$\frac{1}{2}$$.
- The other pairs have different slopes and are not parallel.

**Answer:**
$$ y=\frac{1}{2} x+3 $$ and $$ y=\frac{1}{2} x-5 $$ are parallel.
The parallel lines are $$ y = \frac{1}{2}x + 3 $$ and $$ y = \frac{1}{2}x - 5 $$.

Identify which two lines are parallel. (1 point)

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