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Question

Two point in coordinate represent M(p²+4p-12 , p²-7p-11) and N(p²+9p+8 , 2p² + 1). what is the simplified rational expression for the slope of the line that passes through point M and N?

Answer 1

The two points are M(p² + 4p - 12, p² - 7p - 11) and N(p² + 9p + 8, 2p² + 1)

Slope of the line passing through the point and is

 

Slope of the line passing through the point M and N is

Re-write the expression

Cancel the common terms

Therefore the simplified expression for slope of the line is