# How do you write the equation of a line in slope intercept, point slope and standard form given (1,5) and (-4.2)?

Dec 29, 2015

$y = - 4.2 x + 9.2$

#### Explanation:

The standard point slope line equation for a point $\left(x 1 , y 1\right)$ and slope $m$ is :
$\left(y - y 1\right) = m \cdot \left(x - x 1\right)$
thus, we have $\left(1 , 5\right)$ and $- 4.2$
$\left(y - 5\right) = - 4.2 \cdot \left(x - 1\right)$
$y - 5 = - 4.2 x + 4.2$
$y = - 4.2 x + 9.2$