Question

Which of the following ordered pairs are solutions to the equation y=−2x+6? a. (0,6) b. (1,4) c. (−2,−2) d. none of the above

Answer 1

a and b

Explanation:

to determine which ordered pairs are solutions to the equation

y = - 2x + 6

substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate , then it is a solution.

a (0, 6 )

y = - 2(0) + 6 = 0 + 6 = 6 ← solution

b (1, 4 )

y = - 2(1) + 6 = - 2 + 6 = 4 ← solution

c (- 2, - 2 )

y = - 2(- 2) + 6 = 4 + 6 = 10 ≠ - 2 ← not a solution

the ordered pairs a and b are solutions of the equation