How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?

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How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?

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Answer 1 · 2014-10-24T01:53:45

The point slope formula is
$(y - y_{1}) = m (x - x_{1})$ $(y - y_1) = m (x - x_1)$
Where m = the slope calculated as $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $(y_2 - y_1)/(x_2 - x_1)$

$(x_{1}, y_{1}) (x_{2}, y_{2})$ $(x_1,y_1) (x_2,y_2)$
(-2 , 3) (-1 , -2)

m = $\frac{- 2 - 3}{- 1 - (- 2)}$ $(-2 - 3)/(-1 - (-2))$ = $\frac{- 5}{1}$ $(-5)/1$ = m = -5

$(y - 3) = - 5 (x - (- 2))$ $(y - 3) = -5 (x - (-2))$

$y - 3 = - 5 (x + 2)$ $y - 3 = -5(x + 2)$

$y - 3 = - 5 x - 10$ $y - 3 = -5x - 10$

$y = - 5 x - 10 + 3$ $y = -5x - 10 + 3$

$y = - 5 x - 7$ $y = -5x - 7$

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How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?

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