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

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Answer 1 · 2016-05-01T17:25:51

The slope $= \frac{1}{7}$ $= 1 /7$

$(1, - 2) = x_{1}, y_{1}$ $(1, -2 ) = color(blue)(x_1 , y_1$

$(- 6, - 3) = x_{2}, y_{2}$ $(-6 , - 3) = color(blue)(x_2 , y _ 2$

The slope is calculated using formula:
Slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $= color(blue)((y_2 - y_1) / (x_2 - x _1)$

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

$= \frac{- 3 + 2}{- 7}$ $= (-3 + 2) / ( -7)$

$= \frac{- 1}{- 7}$ $= (-1) / ( -7)$

$= \frac{1}{7}$ $= 1 /7$

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