# How do you write the equation of the line, in standard form, with a slope of -5/2 passing through the point (-2,4)?

Mar 9, 2018

Standard form of the equation is color(blue)(5x + 2y + 2 = 0

#### Explanation:

Standard form of linear equation is $A x + B y + C = 0$

Given one point and slope of a line, we can write the equation of the line using formula

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

Given : (x_1 = -2, y_1 = 4, m = -5/2

The equation is $y - 4 = \left(- \frac{5}{2}\right) \cdot \left(x + 2\right)$

$2 y - 8 = - 5 x - 10$

$2 y + 5 x - 8 + 10 = 0$

color(blue)(5x + 2y + 2 = 0#