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Find the equation of a line that goes through the points: (2,3) (4,11)

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Answer:

y = 4x -5

Explanation:

First, find the slope by subtracting 11 by 3 and 4 by 2. The slope is 8/2, or 4. This is your current equation: y = 4x + b. Plug in one of your coordinates into the equation; it doesn't matter which one. However, I'm going to use the first point so it should look like this: 3 = 4(2) + b. 4 times 2 equals 8, so it should look like this: 3 = 8 + b. Subtract 8 from both sides to get -5 = b. Go back to your original equation and plug in -5 for b. This is your final equation: y = 4x -5. Hope this helped!

User Antoine Aubry
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