# How do you find the slope of the line that passes through (-8,-15), (-2,5)?

Question answer: The slope is

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Going beyond the question:

The two points will give the gradient of a straight line graph.

Consider the standard for of:

Where

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Let point 1

Let point 2

The gradient (slope) is measured moving from left to right on the x-axis. As

So the gradient

So the equation now is

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Using any one of the 2 given points substitute to solve for

Add

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Note that

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To find the slope of the line passing through (-8,-15) and (-2,5), you can use the slope formula:

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

Substitute the coordinates into the formula:

[ \text{Slope} = \frac{{5 - (-15)}}{{-2 - (-8)}} ]

[ \text{Slope} = \frac{{20}}{{6}} ]

[ \text{Slope} = \frac{10}{3} ]

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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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