What is the slope of the line passing through the following points: $(1, 5); (- 3, - 2)$ $(1,5) ; (-3, -2)$ ?

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Answer 1 · 2016-02-09T14:17:01

Slope is $\frac{7}{5}$ $7/5$

If the two points are $(x_{1}, y_{1})$ $(x_1, y_1)$ and $(x_{2}, y_{2})$ $(x_2, y_2)$ , the slope of the line joining them is defined as

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

As the points are $(1, 5)$ $(1, 5)$ and $(- 3, - 2)$ $(-3, -2)$

the slope is $\frac{5 - (- 2)}{1 - (- 3)}$ $(5-(-2))/(1-(-3)$ or $\frac{5 + 2}{1 + 4}$ $(5+2)/(1+4)$

i.e. $\frac{7}{5}$ $7/5$

What is the slope of the line passing through the following points: (1,5) ; (-3, -2)(1,5);(−3,−2) (1,5) ; (-3, -2)?