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A straight line has a gradient –½ and it passes through the point (2, -3), find its equation

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A straight line has a gradient –½ and it passes through the point (2, -3), find its equation

Select one:

2y = x – 4

2y = x + 4

2y = -x + 4

2y = -x – 4

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1 Answer

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Correct option is (d) 2y = -x - 4

y = mx + a

-3 = -1/2(2) + a

-3 = -1 + a

a = -3 + 1

a = -2

y = -1/2 x + (-2)

Multiply both sides by 2; you can get the answer:

2y = -x - 4

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