ShmoopTube

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For a good time, solve this shmoopy question...

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What is the standard form of a line through 3/4, one with M equals -1/2?

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Here are your options...

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Okay, so this question is asking us to apply the Y equals MX plus B format

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but to plug in a point. So here we are given M

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and its -1/2. Already we can fill in the equation to be Y equals -1/2 X plus B.

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Well the question gives us one point the line is going to intersect

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and we know that the slope is gonna be gently negatively sloping

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at minus a half. So rewrite the equation to be one equals -1/2

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times 3/4 plus B. Then just solve and we have one

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equals -3/8 plus B. Add 3/8 to both sides

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and we have 1 3/8 equals B. Glance at the potential answers and we see that there

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is no 1 3/8, but there is an 11/8.

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So that's the form they want this thing in and now we can write the equation as

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Y equals -1/2 X plus 11/8 and the answer is D.

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