# How do you find the value of r such the points (5,r), (2, -3) with slope m=4/3?

r=1

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To find the value of (r) for the points ((5, r)) and ((2, -3)) with a slope (m = \frac{4}{3}), you can use the slope formula:

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

Given:

[ m = \frac{4}{3}, , (x_1, y_1) = (5, r), , (x_2, y_2) = (2, -3) ]

Substitute the given values into the slope formula:

[ \frac{4}{3} = \frac{-3 - r}{2 - 5} ]

Solve this equation for (r).The value of (r) such that the points ((5, r)) and ((2, -3)) have a slope of (m = \frac{4}{3}) is (r = 1).

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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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