Final answer:
To find the slope of line B passing through the given points, we use the formula m = (y2 - y1) / (x2 - x1). To have a greater slope than line A, the value of y must be greater than 2.
Step-by-step explanation:
To find the slope of line B, we use the formula m = (y2 - y1) / (x2 - x1). The coordinates (-1, 0) and (3, y) give us the points (x1, y1) and (x2, y2) respectively. So, the slope of line B is m = (y - 0) / (3 - (-1)). To find a value for y where the slope of line B is greater than the slope of line A, we need to compare the two slopes. We can conclude that the slope of line B is greater than the slope of line A if the value of y is greater than 2, option a.