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

Answer 1

#m=2/3#

To solve this, we can use the gradient formula: #m=(y2-y1)/(x2-x1)#, where #(x1,y1)# are the coordinates of the first point, and #(x2,y2)# are the coordinates of the second point, and #m# is what we're trying to find.
Let's call #(-3,2)# point 1, and #(3,6)# point 2. Note that it doesn't matter which one is point 1, you'll get the same result anyway
So using the gradient formula, let's use the data we have and find he gradient: #m=(6-2)/(3-(-3))# #m=4/6# #m=2/3#

If you want me to explain why the gradient formula works, just say so

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Answer 2

To find the slope given two points ((-3,2)) and ((3,6)), you use the formula for slope: (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}). Substituting the coordinates, you get (m = \frac{{6 - 2}}{{3 - (-3)}}). Simplifying, (m = \frac{4}{6}), which reduces to (\frac{2}{3}). Therefore, the slope is (\frac{2}{3}).

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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.

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.

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.

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.

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