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How do you find the slope given (16, 0) and (9, 2)?

1 Answer

HPN · Stefan V.

Nov 20, 2015

The slope is $- \frac{2}{7}$ $-2/7$
The intercept is $\frac{32}{7}$ $32/7$

Explanation:

Equation for a linear function

$y = k \cdot x + m$ $y = k*x +m$

Where k is the slope and m is the intercept.

$k = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $k=(y_2-y_1)/(x_2-x_1)$
$k = \frac{2 - 0}{9 - 16} = - \frac{2}{7}$ $k=(2-0)/(9-16)=-2/7$

The point (16,0) is on the line

$0 = - \frac{2}{7} \cdot 16 + m$ $0=-2/7*16+m$
$m = \frac{2}{7} \cdot 16 = \frac{32}{7}$ $m=2/7*16=32/7$

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