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What is the slope of the line passing through the following points: # (2,3) ; (5,2)#?

Answer 1

Hazel Anglin

#-1/3#

Slope or gradient may be given by #m=(Deltay)/(Deltax)#.

So in this case, #m=(2-3)/(5-2)=-1/3#.

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Answer 2

Savannah Anderson

To find the slope of the line passing through the points (2,3) and (5,2), you would use the slope formula: (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}). Substituting the coordinates of the points into the formula gives: (m = \frac{{2 - 3}}{{5 - 2}} = \frac{{-1}}{{3 - 2}} = -1). Therefore, the slope of the line passing through the given points is -1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.