Question

Which two points are on the graph of y = -x + 3?

a. (-1, -2), (1, 4)
b. (1, 2), (0, -3)
c. (0, 3), (4, -1)
d. (4, -1), (1, 3)

FYI: There is only one answer to this question

Answer 1

(c)

Substitute the x-coordinate from each point into the equation and if equal to the corresponding y- coordinate then the point lies on the line

(a)

x = - 1 : y = 1 + 3 = 4 ≠ - 2

x = 1 : y = - 1 + 3 = 2 ≠ 4

(b)

x = 1 : y = 2 = 2

x = 0 : y = 0 + 3 = 3 ≠ - 3

(c)

x = 0 : y = 3 = 3 ← correct

x = 4 : y = - 4 + 3 = - 1 = - 1 ← correct

the pair of points is (c)

Answer 2

c. (0, 3), (4, -1)

for (0,3): 3 = -0 + 3 good

for (4,-1): -1 = -4 + 3 good