Write an equation in point slope form of the line that passes through the two points given. (9.-2) and (-3, 2)

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Equivalently:

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Step-by-step explanation:

Let and denote the coordinates of two points in the plane. If (i.e., the two points aren't on the same vertical line,) the slope of the line that goes through the two points would be:

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In this question, and (for ) while and (for .) Given that , the slope of the line that goes through these two points would be:

If a line in a plane is of slope and goes through the point , the point-slope equation of this line would be:

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The slope of this line is . If the point is chosen as ( and ,) then the point-slope equation of this line would be:

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Simplify to obtain:

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Similarly, if the point is chosen as , the point-slope equation of this would be:

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