Answer:
C (3, 1 )
Step-by-step explanation:
To determine if a point lies on the line, substitute the x- coordinate of the point into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line, otherwise not on line.
A (4 , - 3)
y = - 2(4) + 5 = - 8 + 5 = - 3 ← lies on line
B (- 2, 9 )
y = - 2(- 2) + 5 = 4 + 5 = 9 ← lies on line
C (3, 1 )
y = - 2(3) + 5 = - 6 + 5 = - 1 ≠ 1 ← not on line
D (- 1, 7 )
y = - 2(- 1) + 5 = 2 + 5 = 7 ← lies on line
E (2, 1 ) = - 2(2) + 5 = - 4 + 5 = 1 ← lies on line
Thus (3, 1 ) does not lie on the line → C
