Question

which of the following pairs of lines are parallel?
lines with slopes 3 and -(1)/(3)
lines with slopes 2 and -2
lines with slopes 1 and 0
lines with slopes 2 and 2

Explanation:

Step1: Recall parallel line rule

Two lines are parallel if their slopes are equal.

Step2: Check each option

• Option 1: Slopes $3$ and $-\frac{1}{3}$ (not equal)
• Option 2: Slopes $2$ and $-2$ (not equal)
• Option 3: Slopes $1$ and $0$ (not equal)
• Option 4: Slopes $2$ and $2$ (equal)

Answer:

D. Lines with slopes 2 and 2