# How do you write an equation in standard form for a line which passes through the point (5,2) and has a slope of -7/8?

May 4, 2015

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
or for the given example with point $\left({x}_{1} , {y}_{1}\right) \left(5 , 2\right)$ and slope $m = - \frac{7}{8}$
$\left(y - 2\right) = - \frac{7}{8} \left(x - 5\right)$
$8 \left(y - 2\right) = - 7 \left(x - 5\right)$
Converting to standard form: $A x + B y = C$
$7 x + 8 y = 51$