A line has a slope of -3/5. Through which two points could this line pass?

To find out which two points the line could pass through, we need to calculate the slope between each pair of points and check if it equals -3/5.

For option 1: (-5, 9) and (10, 0)
The slope between these two points is (0 - 9)/(10 - (-5)) = -9/15 = -3/5.
So, this line could pass through these two points.

For option 2: (8, 1) and (13, 4)
The slope between these two points is (4 - 1)/(13 - 8) = 3/5.
So, this line does not have a slope of -3/5 and therefore does not pass through these points.

For option 3: (-4, -1) and (3, 20)
The slope between these two points is (20 - (-1))/(3 - (-4)) = 21/7 = 3.
So, this line does not have a slope of -3/5 and therefore does not pass through these points.

For option 4: (-16, -4) and (12, 8)
The slope between these two points is (8 - (-4))/(12 - (-16)) = 12/28 = 3/7.
So, this line does not have a slope of -3/5 and therefore does not pass through these points.

Therefore, the line with a slope of -3/5 could pass through the points (-5, 9) and (10, 0).