# How do you write the equation y-2=-2/5(x-8) in standard form?

May 27, 2017

2x + 5y = 26

#### Explanation:

Multiply both sides by 5 we get

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

$5 y - 10 = - 2 x + 16$

$\Rightarrow 2 x + 5 y = 16 + 10$

$\Rightarrow 2 x + 5 y = 26$