Which set of points are on the line y = 6x - 2 A: {(0, -2), (10,2)} B: {(0, -2), (2,10)} C: {(-2, 0), (10,2)}  D: {(-2, 0), (2,10)}

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to test the pairs of coordinates in the given equation, hence, starting with the set `{(0,-2),(10,2)}` yields:

`-2 = 6*0 - 2 => (0,-2)` `in` `y = 6x - 2`

`2 = 6*10 - 2 => 2 != 58 => (10,2) !in y = 6x - 2`

Hence, the line passes through the point `(0,-2)` but it does not pass through the point `(10,2)` .

Let's try the next set `{(0, -2), (2,10)}` , starting directly with the point (2,10) since (0,-2) lies on the given line.

`10 = 6*2 - 2 => 10 = 10 => (2,10) in y = 6x - 2`

Hence, the line passes through the points `{(0, -2), (2,10)}.`

Hence, evaluating the correct answer yields that the line passes through the set of points `{(0, -2), (2,10)}` , thus you need to select the option `B:{(0, -2), (2,10)}` .

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