how will you determine the equation of the line if the given are two points of the line

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how will you determine the equation of the line if the given are two points of the line

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Given points (x1,y1) (x2,y2) Slope=M=(y2-y1)/(x2-x1) Use point-slope form y-y1=m(x-x1) and use algebra to get y=mx+b
thats actually slope-intercept form but ill but it
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Other answers:

y-y1=m(x-x1) is point-slope, but after numbers are substituted, it can be rearranged to be in slope-intercept form
We went through the step by step procedure at this link if anybody wants to view and check it. http://openstudy.com/users/directrix#/updates/4f3a299ee4b0fc0c1a0e7ed7

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