Question

Determine which of the following points lies on the line of the linear equation y = -3x + 7.

Answer 1

Answer:

For A(1,2), we have 2=9(1)−7=9−7=2

For B((−1,−16), we have -16=9(−1)−7=−9−7=−16

For C(0,−7), we have - 7=9(0)−7=0−7=−7

We see that the line y=-3 x +7 is satisfied by the points A(1,2),B(−1,−16) and C(0,−7).

Therefore, A(1,2),B(−1,−16) and C(0,−7) are solutions of the linear equation y=-3x+7 and therefore, lie on the graph of the linear equation y=-3x + 7.