What is the equation of the line that passes through (5, -2) and (-3, 4)?
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"An equation," not "the equation" can be found in more than 1 way.
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step 1, find the slope, m
Then, use y-y1 = m*(x-x1) where (x1,y1) is either point.
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Or,
| x y 1|
| 5 -2 1| = 0
|-3 4 1|