Question 111552
You need to start with the two point form because you are given two points:
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{{{y-y[1]=((y[1]-y[2])/(x[1]-x[2]))(x-x[1])}}}
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Plug in the values:
{{{y-(-8)=((-8-2)/(5-0))(x-5)}}}
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And simplify:
{{{y+8=(-10/5)(x-5)}}}
{{{y+8=(-2)(x-5)}}}
Giving you the point-slope form: {{{y-y[1]=m(x-x[1])}}}, where m is the slope and ({{{x[1]}}},{{{y[1]}}}) is the point.  m in the example is -2, and (5,-8) is the point.
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Simplify a little more:
{{{y+8=(-2)(x-5))}}}
{{{y=-2x+10-8}}}
{{{y=-2x+2}}}
and you have the slope intercept form {{{y=mx+b}}}, where m is the slope and b is the y-intercept.  m in the example is -2, and b is 2.
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Standard form is {{{ax+by=c}}}, where a and b are not both 0
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And in this problem that would be:
{{{2x+y=2}}} (a=2, b=1, and c = 2)
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