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What is the slope of the line passing through (1,2) and (4,6)?

1 Answer

Mar 14, 2018

$slope = \frac{4}{3}$ $"slope "=4/3$

Explanation:

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

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

$let (x_{1}, y_{1}) = (1, 2) and (x_{2}, y_{2}) = (4, 6)$ $"let "(x_1,y_1)=(1,2)" and "(x_2,y_2)=(4,6)$

$\Rightarrow m = \frac{6 - 2}{4 - 1} = \frac{4}{3}$ $rArrm=(6-2)/(4-1)=4/3$

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