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determine in which half plane the point 3 4 is located with respect to the line y 2x 1

Question

Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

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Answer to a math question Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

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128 Answers

1. Substitute

x=3

into the line equation

y=2x+1

.

y = 2(3) + 1 = 6 + 1 = 7

2. Compare

y=7

with the

y

coordinate of the point, which is

4

.

3. Since

4 < 7

, the point

(3,4)

is below the line.

Answer: The point

(3,4)

is located in the lower half-plane.

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