Question

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

Answer 1

Calculate your slope and the y intercept.

Answer 2

If A is at \((x_{A}, y_{A})\) and B is at \((x_{B}, y_{B})\), then slope is \(\large \frac{y_{B} - y_{A}}{x_{B} - x_{A}}\)

Answer 3

Ok so what do I do once I have the slope?

Answer 4

Then you use it to find the y-intercept. Remember, the y-intercept is at point \((0, y_{C})\)

Answer 5

So, if you used point A, you could use \(\large m = \frac{y_{C} - y_{A}}{0 - x_{A}}\)

Answer 6

ok so once I have the y-intercept???

Answer 7

Then put it in the form y = mx + b.

m is the slope, and b is the y-intercept.

Answer 8

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.

Answer 9

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.

Answer 10

Bring y and mx to the same side, to equal b.

Answer 11

Ok so I have teh x and y intercepts figured out but how do I find C?

Answer 12

C is just b (from y = mx + b)

Answer 13

Ok thank you very much!!!

Answer 14

You're welcome.