A line has a slope of -3/5. Through which two points could this line pass?
Responses
(-5, 9) and (10, 0)
(8, 1) and (13, 4)
(-4, -1) and (3, 20)
(-16, -4) and (12, 8)
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).