Question

which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y - intercept at (0, 3)?
○ line ab
○ line cd
○ line fg
○ line hj

Explanation:

Step1: Recall parallel line property

Parallel lines have equal slopes.

Step2: Identify target line slope

The given line has a slope of $3$. We need to find the line in the graph with slope $3$.

Step3: Calculate slopes of each line

• Line AB: Horizontal line, slope $m=0$
• Line CD: Using points $C(-3,0)$ and $D(3,2)$, $m=\frac{2-0}{3-(-3)}=\frac{2}{6}=\frac{1}{3}$
• Line FG: Using points (0,-3) and (1,0), $m=\frac{0-(-3)}{1-0}=3$
• Line HJ: Downward sloping, slope is negative.

Answer:

line FG