A line has slope
5 3 Through which two points could this line pass?
(1 point)
O (12, 13), (17, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
O (11, 13), (8, 18)
To find the line that passes through the two given points, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes of each pair of points:
For the first pair (12, 13) and (17, 10):
slope = (10 - 13) / (17 - 12) = -3 / 5
For the second pair (16, 15) and (13, 10):
slope = (10 - 15) / (13 - 16) = 5 / -3 = -5 / 3
For the third pair (0, 7) and (3, 10):
slope = (10 - 7) / (3 - 0) = 3 / 3 = 1
For the fourth pair (11, 13) and (8, 18):
slope = (18 - 13) / (8 - 11) = 5 / -3 = -5 / 3
The only pair of points that has a slope of 5/3 is (16, 15) and (13, 10). Therefore, the correct answer is:
(16, 15), (13, 10)