# How do you find a standard form equation for the line with point (-2,0) and the indicated slope of m=-2/5?

May 27, 2018

Standard form of the given equation is

color(violet)(2x + 5y = -4

#### Explanation:

Point $\left({x}_{1} , {y}_{1}\right) = \left(- 2 , 0\right) , m \equiv - \left(\frac{2}{5}\right)$

Point-Slope form of equation is

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

$y - 0 = - \left(\frac{2}{5}\right) \cdot \left(x + 2\right)$

$y = - \left(\frac{2}{5}\right) x - \left(\frac{4}{5}\right)$

Converting it into Standard form of $a x + b y = c$

$5 y = - 2 x - 4$

color(violet)(2x + 5y = -4