Which of the following coordinates exists on the line y = 3x + 1?A.(3, 1)B.(-3, 4)C.(-1, -2)D.(2, 6)SUBMITarrow_backPREVIOUS
Question
Which of the following coordinates exists on the line ?
A.
B.
C.
D.
SUBMIT
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Solution
To determine which of the given coordinates exists on the line y = 3x + 1, we need to substitute the x and y values of each coordinate into the equation and see if both sides of the equation are equal.
A. (3, 1) Substitute x = 3 and y = 1 into the equation: 1 = 3*3 + 1 1 = 9 + 1 1 ≠ 10 So, A is not on the line.
B. (-3, 4) Substitute x = -3 and y = 4 into the equation: 4 = 3*(-3) + 1 4 = -9 + 1 4 ≠ -8 So, B is not on the line.
C. (-1, -2) Substitute x = -1 and y = -2 into the equation: -2 = 3*(-1) + 1 -2 = -3 + 1 -2 ≠ -2 So, C is not on the line.
D. (2, 6) Substitute x = 2 and y = 6 into the equation: 6 = 3*2 + 1 6 = 6 + 1 6 ≠ 7 So, D is not on the line.
Therefore, none of the given coordinates exists on the line y = 3x + 1.
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