Question

Which of the following points does not lie on the line y = -2x +5?

Answer 1

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

Answer 2

Answer:

C and E are not on the line.

Step-by-step explanation:

Just substitute for the x and the y and see which ordered pair fits and which does not:

If Left side of the equation = right side then the point fits.

A.   y = -3

-2x+5 = -2(4) + 5 = -3  So A is on the line

B. y = 9

-2(-2) + 5 = 9 So this point does lie on the line.

C. y = 1

-2(3) + 5 = -1   No.

D. y = 7

-1(-1) + 5 = 7  YES.

E. y = 1

-2(1) + 5 = 3 NO.