A line has slope –The fraction negative five thirds.. Through which two points could this line pass?
(1 point)
(12, 13), (17, 10)
(12, 13), (17, 10)
(16, 15), (13, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)
To find the equation of the line passing through two points, we can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
In this case, the slope is -5/3. Let's check which set of points gives us this slope:
For option 1:
m = (10 - 13) / (17 - 12) = -3 / 5, which is not -5 / 3.
For option 2:
m = (15 - 10) / (16 - 13) = 5 / 3, which is not -5 / 3.
For option 3:
m = (10 - 7) / (3 - 0) = 3 / 3 = 1, which is not -5 / 3.
For option 4:
m = (18 - 13) / (8 - 11) = 5 / -3 = -5 / 3.
Therefore, the line with a slope of -5/3 passes through points (11, 13) and (8, 18).