How do you write the equation in point slope form given (-3,4) (-1,-2)?

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How do you write the equation in point slope form given (-3,4) (-1,-2)?

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Answer 1 · 2016-04-07T06:31:57

$y = - 3 x - 5$ $y=-3x-5$

Explanation:

Given -

$x_{1} = - 3$ $x_1=-3$
$y_{1} = 4$ $y_1=4$
$x_{2} = - 1$ $x_2=-1$
$y_{2} = - 2$ $y_2=-2$

Formula for equation -

$(y - y_{1}) = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$ $(y-y_1)=(y_2-y_1)/(x_2-x_1) (x-x_1)$
$y - 4) = \frac{(- 2) - 4}{(- 1) - (- 3)} (x - (- 3)$ $y-4)=((-2)-4)/((-1)-(-3)) (x-(-3)$
$(y - 4) = \frac{- 2 - 4}{- 1 + 3} (x + 3)$ $(y-4)=(-2-4)/(-1+3)(x+3)$
$y - 4 = \frac{- 6}{2} (x + 3)$ $y-4=(-6)/2(x+3)$
$y - 4 = - 3 (x + 3)$ $y-4=-3(x+3)$
$y - 4 = - 3 x - 9$ $y-4=-3x-9$
$y = - 3 x - 9 + 4$ $y=-3x-9+4$
$y = - 3 x - 5$ $y=-3x-5$

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How do you write the equation in point slope form given (-3,4) (-1,-2)?

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