How do I write an equation for a standard form with two given points?

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First, find the slope of the line between the two points by using the slope formula, (y2-y1)/(x2-x1).  After finding the slope, (m), use the point-slope formula with the m you found and the coordinates of either one of the points.  Formula is y-y1  = m(x-x1).  Plug in m (the slope you found), y1 (the y coordinate of one point), and x1 (the x-coordinate of the same point.)  Now you will have an equation of the line, you'll just need to rearrange it into Ax + By = C form.  Good luck! Then