How do you find the slope of the line (-4,5) and (3,-3)?

Answer 1

Subtract the first y-variable from the second y-variable and divide that by the first x-variable subtracted from the second x-variable.

#(-3-5)/(3--4)#=#(-3-5)/(3+4)#=#-8/7#

The slope is #-8/7#.

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Answer 2

Nathan Axel

To find the slope of a line passing through two points, you can use the slope formula: (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}). So, using the given points ((-4,5)) and ((3,-3)), we can substitute the coordinates into the formula: (m = \frac{{-3 - 5}}{{3 - (-4)}} = \frac{{-8}}{{7}}). Therefore, the slope of the line is (\frac{{-8}}{{7}}).

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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.