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How do you find the slope of the line through (2, -5) and ( 7, 3)?

1 Answer

Jun 8, 2018

$slope = \frac{8}{5}$ $"slope "=8/5$

Explanation:

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

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

$let (x_{1}, y_{1}) = (2, - 5) and (x_{2}, y_{2}) = (7, 3)$ $"let "(x_1,y_1)=(2,-5)" and "(x_2,y_2)=(7,3)$

$m = \frac{3 - (- 5)}{7 - 2} = \frac{8}{5}$ $m=(3-(-5))/(7-2)=8/5$

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