What is the equation of the line with slope  m= -7/8  that passes through  (2,5) ?

Jul 31, 2016

$y = - \frac{7}{8} x + \frac{54}{5}$

Explanation:

$m = - \frac{7}{8} \text{ slope}$

$P = \left(2 , 5\right) \text{ any point on the line}$

${x}_{1} = 2 \text{ ; } {y}_{1} = 5$

$\text{Apply the formula :}$

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 5 = - \frac{7}{8} \left(x - 2\right)$

$y = - \frac{7}{8} x + \frac{14}{8} + 5$

$y = - \frac{7}{8} x + \frac{14 + 40}{5}$

$y = - \frac{7}{8} x + \frac{54}{5}$