what points are proportional to (10,16)
(1.6,0)
(6,0)
(12,7.5)
(2.5,4)
To determine which points are proportional to (10,16), we need to find the constant of proportionality between the x and y coordinates.
The constant of proportionality is found by dividing the y-coordinate by the x-coordinate.
For point (10,16):
Constant of proportionality = 16/10 = 1.6
For the other points:
Point (1.6, 0):
Constant of proportionality = 0/1.6 = 0
This point is proportional to (10,16) because the constant of proportionality is the same.
Point (6, 0):
Constant of proportionality = 0/6 = 0
This point is proportional to (10,16) because the constant of proportionality is the same.
Point (12, 7.5):
Constant of proportionality = 7.5/12 = 0.625
This point is not proportional to (10,16) because the constant of proportionality is different.
Point (2.5, 4):
Constant of proportionality = 4/2.5 = 1.6
This point is proportional to (10,16) because the constant of proportionality is the same.
Therefore, the points that are proportional to (10,16) are (1.6,0), (6,0), and (2.5,4).