To find out which of these points lie on the line with the equation 5y - 3x = -1, we can substitute the x and y values into the equation and see if they satisfy it.
a) (2,-1): 5(-1) - 3(2) = -5 - 6 = -11 not equal to -1 Therefore, point (2,-1) does not lie on the line.
b) (-2,1): 5(1) - 3(-2) = 5 + 6 = 11 not equal to -1 Therefore, point (-2,1) does not lie on the line.
c) (2,1): 5(1) - 3(2) = 5 - 6 = -1 Therefore, point (2,1) lies on the line.
d) (-2,-1): 5(-1) - 3(-2) = -5 + 6 = 1 not equal to -1 Therefore, point (-2,-1) does not lie on the line.
So, only point (2,1) lies on the line with the equation 5y - 3x = -1.
To find out which of these points lie on the line with the equation 5y - 3x = -1, we can substitute the x and y values into the equation and see if they satisfy it.
a) (2,-1):
5(-1) - 3(2) = -5 - 6 = -11 not equal to -1
Therefore, point (2,-1) does not lie on the line.
b) (-2,1):
5(1) - 3(-2) = 5 + 6 = 11 not equal to -1
Therefore, point (-2,1) does not lie on the line.
c) (2,1):
5(1) - 3(2) = 5 - 6 = -1
Therefore, point (2,1) lies on the line.
d) (-2,-1):
5(-1) - 3(-2) = -5 + 6 = 1 not equal to -1
Therefore, point (-2,-1) does not lie on the line.
So, only point (2,1) lies on the line with the equation 5y - 3x = -1.