Question

1) If P(x,-8) is a point on the line y=3x-2 what are the coordinates of P?

2) If Q(2,y) is a point on the line y=3x-2. what are the coordinates of Q?

Answer 1

For part one, this means that the y value (the second value) is -8, and since we know that y=3x-2, we can say that -8=3x-2.
Adding 2 to both sides using the addition property of equality, we get -6=3x. Next, dividing by 3 using the division property of equality, we get -2=x. Therefore, plugging -2 in the point, we get (-2,-8) as our point.

For the second point, we have 2 as the x value, so we can plug that into 3x-2 to get 3*(2)-2=6-2=4 as the y value, making the point (2,4)

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