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How can you find the standard form of an equation using 2 given points?

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Calculate your slope and the y intercept.
If A is at \((x_{A}, y_{A})\) and B is at \((x_{B}, y_{B})\), then slope is \(\large \frac{y_{B} - y_{A}}{x_{B} - x_{A}}\)

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Other answers:

Ok so what do I do once I have the slope?
Then you use it to find the y-intercept. Remember, the y-intercept is at point \((0, y_{C})\)
So, if you used point A, you could use \(\large m = \frac{y_{C} - y_{A}}{0 - x_{A}}\)
ok so once I have the y-intercept???
Then put it in the form y = mx + b. m is the slope, and b is the y-intercept.
Ok,I understand that part but how do i find teh standard form of the equation,my book says it would be Ax +By=C but it doesn texplain how to find the equation using 2 given points.
Oh, sorry. I missed that part of your post. Standard form is just \(Ax + By = C\) (like you said). You can get it by rearranging your y = mx + b formula.
Bring y and mx to the same side, to equal b.
Ok so I have teh x and y intercepts figured out but how do I find C?
C is just b (from y = mx + b)
Ok thank you very much!!!
You're welcome.

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