Question

Which of the following points lie on the line 2x − 5y = 16?

Options

• (1, −3)

• (3, −2)

• (8, 1)

• (0, 8)

Answer 1

(3, –2)

Explanation:

Substitute the coordinates (x, y) into the equation 2x − 5y = 16

(1, –3) = 2(1) − 5(−3) = 2 + 15 = 17 ≠ 16

(3, –2) = 2(3) − 5(−2) = 6 + 10 = 16

(8, 1) = 2(8) − 5(1) = 16 − 5 = 11 ≠ 16

(0, 8) = 2(0) − 5(8) = 0 − 40 = −40 ≠ 16