What is the slope of the line passing through the following points: $(10, 2), (4, 7)$ $(10, 2) , (4, 7)$ ?

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Answer 1 · 2015-12-22T17:21:55

$m = - \frac{5}{6}$ $color(blue)(m=-5/6$

The points given are
$(10, 2) = x_{1}, y_{1}$ $(10,2) = color(blue)(x_1,y_1$

$(4, 7) = x_{2}, y_{2}$ $(4,7) = color(blue)(x_2 , y_2$

The slope is calculated using formula:

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

$m = \frac{7 - 2}{4 - 10}$ $m= (7-2)/(4-10)$

$m = \frac{5}{- 6}$ $m= (5)/(-6)$

The slope :
$m = - \frac{5}{6}$ $color(blue)(m=-5/6$

What is the slope of the line passing through the following points: (10, 2) , (4, 7) (10,2),(4,7)(10, 2) , (4, 7) ?