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How do you find the slope of the line passing through the points A (-3, 10) B (-5, -4)?

1 Answer

sankarankalyanam

May 2, 2018

$M_{A B} = \frac{14}{3}$ $color(purple)(M_(AB) = 14/3$

Explanation:

$Slope of a line knowing two points on the line is given by$ $"Slope of a line knowing two points on the line is given by "$

$M = \frac{Rise}{Run} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $M = "Rise" / "Run" = (y_2 - y_1) / (x_2 - x_1)$

$Given : A (x_{1}, y_{1}) = (- 3, 10), B (x_{2}, y_{2}) = (- 5, - 4)$ $"Given : " A(x_1, y_1) = (-3,10), B(x_2,y_2) = (-5,-4)$

$Slope M_{A B} = \frac{- 4 - 10}{- 5 + 3} = \frac{- 14}{- 2}$ $"Slope " M_(AB) = (-4-10) / (-5+3) =( -14) / (-2)$

$M_{A B} = 7$ $color(purple)(M_(AB) = 7$

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