How do you find the slope given (2,-1) and (-6,-3)?

Answer 1

Slope #= 2/3#

In general given two points, #(x_1,y_1)# and #(x_2,y_2)#, the slope is the difference between the #y# coordinate values divided by the difference between the #x# coordinate values (taken in the same order).

That is #color(white)("XXX")"slope"=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)#

For this example, if we use #color(white)("XXX")(x_1,y_1)=(2,-1)# and #color(white)("XXX")(x_2,y_2)=(-6,-3)#

We get #color(white)("XXX")"slope"=((-3)-(-1))/((-6)-(-3))=(-2)/(-3)=2/3#

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Answer 2

Jace Anderson

To find the slope given the points (2, -1) and (-6, -3), you can use the formula:

[ \text{Slope} = \frac{{\text{change in } y}}{{\text{change in } x}} ]

[ \text{Slope} = \frac{{-3 - (-1)}}{{-6 - 2}} ]

[ \text{Slope} = \frac{{-3 + 1}}{{-6 - 2}} ]

[ \text{Slope} = \frac{{-2}}{{-8}} ]

[ \text{Slope} = \frac{1}{4} ]

So, the slope is ( \frac{1}{4} ).

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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.