SOLUTION: I keep trying to put the coordinates (5,-8) and (0,2) in slope-intercept form, point-slope form, and standard form. I need help with Standard Form especially. Please help me.

Algebra ->  Linear-equations -> SOLUTION: I keep trying to put the coordinates (5,-8) and (0,2) in slope-intercept form, point-slope form, and standard form. I need help with Standard Form especially. Please help me.      Log On


   

Question 111552: I keep trying to put the coordinates (5,-8) and (0,2) in slope-intercept form, point-slope form, and standard form. I need help with Standard Form especially. Please help me.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You need to start with the two point form because you are given two points:
:
y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29
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Plug in the values:
y-%28-8%29=%28%28-8-2%29%2F%285-0%29%29%28x-5%29
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And simplify:
y%2B8=%28-10%2F5%29%28x-5%29
y%2B8=%28-2%29%28x-5%29
Giving you the point-slope form: y-y%5B1%5D=m%28x-x%5B1%5D%29, where m is the slope and (x%5B1%5D,y%5B1%5D) is the point. m in the example is -2, and (5,-8) is the point.
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Simplify a little more:
y%2B8=%28-2%29%28x-5%29%29
y=-2x%2B10-8
y=-2x%2B2
and you have the slope intercept form y=mx%2Bb, 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%2Bby=c, where a and b are not both 0
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And in this problem that would be:
2x%2By=2 (a=2, b=1, and c = 2)
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