ShmoopTube

00:03

This is how we shmoop it… we shmoop it…

00:07

The point (4, 6) lies on a line that has a slope of 2.

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What is the y-intercept point of the line?

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And here are the potential answers…

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So… what is this question asking?

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Can we… divine the line?

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We start as always with our friend, y equals mx plus b…

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and we just fill in whatever numbers we know.

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The problem gives us m… it’s 2.

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Let’s rewrite the slope to be y = 2x + b

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Now we need to find b.

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Let’s just plug in the x and y figures that the kind, loving people from ProblemLand have given us:

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Rewrite this to be:

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6 = 2 times 4 plus b

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…or 6 equals 8 plus b.

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So b is… negative 2.

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Rewrite again as:

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y = 2x minus 2

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The only answer that works is B, where x is 0 and 2 times 0 is 0 so … we’re done.

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Our answer is B.

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As in, “Us and y = mx+b. Best buds.”

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