Which of the following coordinates exists on the line y = 2x + 4?A.(2, 4)B.(1, 5)C.(-1, 3)D.(-3, -2)
Question
Which of the following coordinates exists on the line y = 2x + 4?A.(2, 4)B.(1, 5)C.(-1, 3)D.(-3, -2)
Solution
To find out which coordinates exist on the line y = 2x + 4, we need to substitute the x and y values of each option into the equation and see if both sides are equal.
A. (2, 4) Substitute x = 2 and y = 4 into the equation: 4 = 2*2 + 4 4 = 4 + 4 4 ≠ 8 So, A is not on the line.
B. (1, 5) Substitute x = 1 and y = 5 into the equation: 5 = 2*1 + 4 5 = 2 + 4 5 ≠ 6 So, B is not on the line.
C. (-1, 3) Substitute x = -1 and y = 3 into the equation: 3 = 2*(-1) + 4 3 = -2 + 4 3 = 2 So, C is not on the line.
D. (-3, -2) Substitute x = -3 and y = -2 into the equation: -2 = 2*(-3) + 4 -2 = -6 + 4 -2 = -2 So, D is on the line.
Therefore, the coordinate that exists on the line y = 2x + 4 is D. (-3, -2).
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