To determine which lines are parallel to each other, we need to compare their slopes.
The slope-intercept form of a line is given by the equation y = mx + b, where m represents the slope of the line.
For line j: y = (2/3)x + 1/2, the slope is 2/3.
For line k: y = (1/2)x + 2/3, the slope is 1/2.
For line l: y = (2/3)x + 3/2, the slope is 2/3.
For line m: y = (3/2)x + 1/2, the slope is 3/2.
Now we compare the slopes:
Line j has a slope of 2/3, and line l has a slope of 2/3. Therefore, lines j and l are parallel to each other.
Line k has a slope of 1/2, and line l has a slope of 2/3. Therefore, lines k and l are not parallel to each other.
Line k has a slope of 1/2, and line m has a slope of 3/2. Therefore, lines k and m are not parallel to each other.
Based on the comparison of slopes, the lines that are parallel to each other are j and l. So the correct answer is A) j and l.