# What is the equation of the line that passes through (44.2, -22.8) and (25.2, 34.2)?

Mar 2, 2018

$y + 3 x = 109.8$

#### Explanation:

$\implies y = m x + b$

$\implies y = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \cdot x + b$

$\implies y = \frac{34.2 - \left(- 22.8\right)}{25.2 - 44.2} \cdot x + b$

$\implies y = \frac{34.2 + 22.8}{- 19} \cdot x + b$

$\implies y = \frac{57}{- 19} \cdot x + b$

$\implies y = - 3 x + b$

$\implies y + 3 x = b$

Put coordinates of any of the two points.

$\implies - 22.8 + 3 \cdot \left(44.2\right) = b$

$\implies - 22.8 + 132.6 = b$

$\implies 109.8 = b$

So, the equation is
$y + 3 x = 109.8$