Answer:
Lines A and B are parallel
Explanations:
The slope-intercept form of the equation of a line is given as:
y = mx + c
where m represents the slope
and c represents the y-inercept
Two lines are parallel if they have the same slope
Considering the given lines one after the other:
For line A: y = 2x + 3
The slope, m = 2, the y-intercept, c = 3
For line B: y = 2x - 5
The slope, m = 2, the y-intercept, c = -5
For line C: y = -2x + 3
The slope, m = -2, the y-intercept, c = 3
The two lines that have the same slope, m = 2 are the parallel lines.
That is, line A; y = 2x + 3 and line B: y = 2x - 5 are parallel.