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Question
I need to find a general form equation for the line through the pair of points.

(-2,4) and (5,1)

Can you teach me how to do this? Thank you.

Answer
Sure, it's easy.
The general equation for a line is y=mx+b where m is the slope and b is the y-intercept.  So just put in your values and solve for m and b.
4 = m(-2)+b and 1 = m(5)+b
so m = -3/7, b = 22/7 and your equation is
y = (-3/7)x +22/7 or 3x+7y = 22

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