Can You Write An Equation In Standard Form For A Line Passing Through The Pair Of Points: (5,-4) And (0,-7)?

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Oddman answered
The 2-point form of the equation for a line is
(y - y1) = ((y2 - y1)/(x2 - x1))*(x - x1)

Let (x1, y1) = (5, -4); (x2, y2) = (0, -7). Then we have
y -(-4) = ((-7 - (-4))/(0 - 5))*(x - 5)    (plug in the numbers)
y + 4 = (-3/-5)*(x - 5) = (3/5)(x - 5)    (simplify)
5y + 20 = 3x - 15    (multiply both sides by 5)
-3x + 5y = -35    (subtract 3x+20 from both sides)
3x - 5y = 35    (multiply both sides by -1)

Either of the last two versions is in standard form. I prefer the version with the fewest minus signs.

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