What is the slope of the line passing through (7, -2) and (4,-3). What is the rise of that slope?

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What is the slope of the line passing through (7, -2) and (4,-3). What is the rise of that slope?

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Answer 1 · 2016-10-29T15:25:15

The slope of this line is $\frac{1}{3}$ $1/3$ , and the rise of this slope is $+ 1$ $+1$ .

Explanation:

Given two points on a line with coordinates $(x_{1}, y_{1})$ $(x_1, y_1)$ and $(x_{2}, y_{2})$ $(x_2, y_2)$ , the slope of the line, $m$ $m$ , is found using the formula

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m = (y_2 - y_1)/(x_2 - x_1)$

Since we have two points $(7, - 2)$ $(7, -2)$ and $(4, - 3)$ $(4, -3)$ , we can substitute these coordinates into the slope formula and simplify the expression to obtain the slope of this line.

$m = \frac{- 3 - - 2}{4 - 7} = \frac{- 1}{- 3} = \frac{1}{3}$ $m = (-3 - -2)/(4 - 7) = (-1)/(-3) =1/3$

So the slope of the line is $\frac{1}{3}$ $1/3$ .

As for the second question, slope is often defined as "rise over run." Therefore the 'rise' of this slope is $+ 1$ $+1$ .

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What is the slope of the line passing through (7, -2) and (4,-3). What is the rise of that slope?

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