y=4/3x-3
a.3;4/3
b.-3;4/3
c. 3/4;3
d.4/3;-3
To determine which one of the given points lies on the line y = (4/3)x - 3, we need to substitute the x and y values of each point into the equation and see if it holds true.
Let's go through the options:
a. (3, 4/3)
Substituting x = 3 and y = 4/3 into the equation:
4/3 = (4/3)(3) - 3
4/3 = 4 - 3
4/3 = 1
This is not true, so (3, 4/3) does not lie on the line.
b. (-3, 4/3)
Substituting x = -3 and y = 4/3 into the equation:
4/3 = (4/3)(-3) - 3
4/3 = -4 - 3
4/3 = -7
This is not true, so (-3, 4/3) does not lie on the line.
c. (3/4, 3)
Substituting x = 3/4 and y = 3 into the equation:
3 = (4/3)(3/4) - 3
3 = 1 - 3
3 = -2
This is not true, so (3/4, 3) does not lie on the line.
d. (4/3, -3)
Substituting x = 4/3 and y = -3 into the equation:
-3 = (4/3)(4/3) - 3
-3 = 16/9 - 3
-3 = 16/9 - 27/9
-3 = -11/9
This is not true, so (4/3, -3) does not lie on the line.
Therefore, none of the given points (a, b, c, d) lie on the line y = (4/3)x - 3.