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

Answer 1

See a solution process below:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#
Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line.

Changing the values from the problem's points yields:

#m = (color(red)(1) - color(blue)(-7))/(color(red)(4) - color(blue)(2)) = (color(red)(1) + color(blue)(7))/(color(red)(4) - color(blue)(2)) = 8/2 = 4#
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Answer 2

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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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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