What is the slope of the line passing through the following points: $(2, - 6); (1, 3)$ $(2,-6); (1,3)$ ?

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Answer 1 · 2016-03-05T16:57:08

The slope $= - 9$ $=-9$

The coordinates are:
$(2, - 6) = x_{1}, y_{1}$ $(2,-6) = color(blue)(x_1,y_1$
$(1, 3) = x_{2}, y_{2}$ $(1,3) = color(blue)(x_2,y_2$

The slope is calculated using formula:

slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $=(y_2-y_1) / (x_2-x_1)$
(change in y axis divided by change in x axis)

$= \frac{3 - (- 6)}{1 - 2}$ $=(3-(-6))/(1-2$

$= \frac{3 + 6}{- 1}$ $=(3 +6)/(-1$

$= \frac{9}{- 1}$ $=(9)/(-1)$

The slope $= - 9$ $=-9$

What is the slope of the line passing through the following points: (2,-6); (1,3) (2,−6);(1,3) (2,-6); (1,3) ?