# How do you find the slope of the line that passes through (2,-7), (4,1)?

See a solution process below:

Changing the values from the problem's points yields:

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To find the slope of the line passing through two points, (x₁, y₁) and (x₂, y₂), you can use the formula:

[ \text{Slope} = \frac{y₂ - y₁}{x₂ - x₁} ]

Substituting the given points, (2, -7) and (4, 1), into the formula:

[ \text{Slope} = \frac{1 - (-7)}{4 - 2} ]

[ \text{Slope} = \frac{1 + 7}{4 - 2} ]

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

[ \text{Slope} = 4 ]

So, the slope of the line passing through the points (2, -7) and (4, 1) is 4.

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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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