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

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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.

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