What is the slope of the line passing through the following points: $(- 3, 2), (- 6, 4)$ $(-3,2) , (-6,4)$ ?

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Answer 1 · 2018-03-31T03:41:55

Slope $= m = - \frac{2}{3}$ $=m=-2/3$

Use the slope formula:

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

Given $(- 3, 2)$ $(-3,2)$ and $(- 6, 4)$ $(-6,4)$

Let

$(- 3, 2) \to (x_{1}, y_{1})$ $(color(red)(-3),color(blue)(2))->(color(red)(x_1),color(blue)(y_1))$

$(- 6, 4) \to (x_{2}, y_{2})$ $(color(red)(-6,color(blue)4))->(color(red)(x_2),color(blue)(y_2))$

Substituting in for the slope formula...

$m = \frac{4 - 2}{- 6 - (- 3)} = \frac{2}{- 3}$ $m=color(blue)(4-2)/color(red)(-6-(-3))=color(blue)2/color(red)(-3)$

What is the slope of the line passing through the following points: (-3,2) , (-6,4)(−3,2),(−6,4) (-3,2) , (-6,4)?