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What is the slope of the line passing through the following points: # ( 7,-2 ) ,(4,-3) #?

Answer 1

Nathan Axel

Slope is #\frac{1}{3}#

Formula for finding the slope (represented by variable #m#).

#m = \frac{y_2 - y_1}{x_2 - x_1}#

#m = \frac{-3 + 2}{4 - 7}#

#m = \frac{-1}{-3}#

#m = \frac{1}{3}#

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Answer 2

Jace Anderson

To find the slope of the line passing through the points (7, -2) and (4, -3), you use the formula: slope = (change in y) / (change in x). Substitute the coordinates into the formula: slope = (-3 - (-2)) / (4 - 7) = (-3 + 2) / (4 - 7) = -1 / -3 = 1/3. Therefore, the slope of the line passing through the points (7, -2) and (4, -3) is 1/3.

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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.