Question 882803
Hello. Good job on your attempts to solve the problem! It looks like you are on the right track. =)
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To find m (the slope), use the formula {{{m = (y[2]-y[1])/(x[2]-x[1])}}}. It does not matter which set of coordinates you choose as which; the result will end up the same.

{{{m = (y[2]-y[1])/(x[2]-x[1]) = (2-(-4))/(3-(-1)) = (2+4)/(3+1) = 6/4 = 3/2

Therefore, the slope of the line is 3/2.
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Now, we just plug the slope and EITHER ONE of your coordinate pairs (it does not matter which!) into the "slope formula" and simplify. I will use (3,2), but you could use (-1,-4) instead.
{{{y - y[1] = m(x - x[1])}}}
{{{y - 2 = (3/2)(x - 3)}}}
{{{y - 2 = (3/2)x - 9/2}}}
{{{y = (3/2)x - 5/2}}}
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Therefore, your equation will be {{{y = (3/2)x - 5/2}}}