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The points (4n, 2n) and (5n,8n) lie on a line. If n is a nonzero number, what is the slope of the line?

1 Answer

Jun 20, 2018

$slope = 6$ $"slope "=6$

Explanation:

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

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

$let (x_{1}, y_{1}) = (4 n, 2 n) and (x_{2}, y_{2}) = (5 n, 8 n)$ $"let "(x_1,y_1)=(4n,2n)" and "(x_2,y_2)=(5n,8n)$

$m=(8n-2n)/(5n=4n)=(6cancel(n))/cancel(n)=6$

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