A line has a slope of -3/5. Through which two points could this line pass? Correct answer
A. (-4, -1) and (3,20)
B. (8,1) and (13,4)
C. (-16, -4) and (12,8)
D. (-5,9) and (10,0)
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's check each option to see if the slope matches -3/5:
A. slope = (20 - (-1)) / (3 - (-4)) = 21 / 7 = 3/1. Incorrect.
B. slope = (4 - 1) / (13 - 8) = 3 / 5. Correct.
C. slope = (8 - (-4)) / (12 - (-16)) = 12 / 28 = 3/7. Incorrect.
D. slope = (0 - 9) / (10 - (-5)) = -9 / 15 = -3/5. Correct.
Therefore, the correct answer is B. (8,1) and (13,4), and D. (-5,9) and (10,0).