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Line B passes through the points (-1,0) and (3,y). Find a value for y for which the slope of line B is greater than the slope of line A:

a. y > 2
b. y < 2
c. y > 1
d. y < 1

1 Answer

4 votes

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.

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