# How do you find the slope given A(- 3, 2) , B(4, 5)?

See explanation.

The slope is as follows:

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To find the slope given points A(-3, 2) and B(4, 5), you use the formula for slope: (m = \frac{y_2 - y_1}{x_2 - x_1}). Substituting the coordinates of the points, you get (m = \frac{5 - 2}{4 - (-3)}), which simplifies to (m = \frac{3}{7}). Therefore, the slope is (\frac{3}{7}).

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To find the slope given two points, ( A(-3, 2) ) and ( B(4, 5) ), you can use the slope formula:

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

Substituting the coordinates of the points into the formula:

[ \text{Slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]

Where ( (x_1, y_1) ) represents the coordinates of the first point (in this case, ( A(-3, 2) )), and ( (x_2, y_2) ) represents the coordinates of the second point (in this case, ( B(4, 5) )).

Plugging in the values:

[ \text{Slope} = \frac{{5 - 2}}{{4 - (-3)}} ]

[ \text{Slope} = \frac{{3}}{{7}} ]

Therefore, the slope of the line passing through points ( A(-3, 2) ) and ( B(4, 5) ) is ( \frac{{3}}{{7}} ).

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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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