What is the slope of the line passing through the following points: $(- 2, - 4); (1, 5)$ $(-2, -4) ; (1,5)$ ?

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Answer 1 · 2016-01-31T11:30:29

Slope $m$ $m$ of a line passing through two points $A (x_{1}, y_{1})$ $A(x_1,y_1)$ and $B (x_{2}, y_{2})$ $B(x_2,y_2)$ is given by

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

Here let $A = (- 2, - 4) and B = (1, 5)$ $A=(-2,-4) and B=(1,5)$

$\Rightarrow m = \frac{5 - (- 4)}{1 - (- 2)} = \frac{5 + 4}{1 + 2} = \frac{9}{3} = 3$ $implies m=(5-(-4))/(1-(-2))=(5+4)/(1+2)=(9)/3=3$

$\Rightarrow$ $implies$ slope of the line passing through the given points is $3$ $3$ .

What is the slope of the line passing through the following points: (-2, -4) ; (1,5) (−2,−4);(1,5) (-2, -4) ; (1,5) ?