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What is the slope of the line between (3, –4) and (–2, 1)?

1 Answer

Jun 1, 2018

$slope = - 1$ $"slope "=-1$

Explanation:

$calculate the slope using the gradient formula$ $"calculate the slope using the "color(blue)"gradient formula"$

$∙ x m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $•color(white)(x)m=(y_2-y_1)/(x_2-x_1)$

$let (x_{1}, y_{1}) = (3, - 4) and (x_{2}, y_{2}) = (- 2, 1)$ $"let "(x_1,y_1)=(3,-4)" and "(x_2,y_2)=(-2,1)$

$m = \frac{1 - (- 4)}{- 2 - 3} = \frac{5}{- 5} = - 1$ $m=(1-(-4))/(-2-3)=5/(-5)=-1$

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