which point lies on the line defined by 6x - 3y = -18? a. (-2, -10) b. (-2, 10) c. (2, 10) d. (2, -10)

Explanation:

Step1: Substitute point A

For point A (-2,-10), substitute (x = - 2) and (y=-10) into (6x - 3y). [6\times(-2)-3\times(-10)=-12 + 30=18\neq - 18]

Step2: Substitute point B

For point B (-2,10), substitute (x=-2) and (y = 10) into (6x-3y). [6\times(-2)-3\times10=-12-30=-42\neq - 18]

Step3: Substitute point C

For point C (2,10), substitute (x = 2) and (y = 10) into (6x-3y). [6\times2-3\times10=12 - 30=-18]

Step4: Substitute point D

For point D (2,-10), substitute (x = 2) and (y=-10) into (6x-3y). [6\times2-3\times(-10)=12 + 30=42\neq - 18]

Answer:

C. (2, 10)