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The slope of the line is (diff in y-coord)/(diff in x-coord) = (7-3)/(1+2) = 4/3

So the equation of the line is of the form y = 4/3*x + c where c is a constant to be determined

Equivalently, 3y = 4x + c' where c' is (another) constant to be determined.

The point (1,7) is on this line so 3*7 = 4*1 + c' ie c' = 21-4 = 17

So the equation of the line is 3y = 4x + 17

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Q: Choose the equation of the line that contains 1 7 and -2 3?
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