# Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)

Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)
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Carly Yang
Given two points $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$
the slope is given by the formula
$m=\frac{\Delta y}{\Delta x}=\frac{{y}_{1}-{y}_{2}}{{x}_{1}-{x}_{2}}$

Given the points (15,16) and (13,10)
the slope is $m=\frac{16-10}{15-13}=\frac{6}{2}=3$

Given a slope m and a point $\left({x}_{1},{y}_{1}\right)$
the point-slope form of the linear equation is
$y-{y}_{1}=m\left(x-{x}_{1}\right)$

For the given values this becomes
y−16=3(x−15)