# What is the equation of the line passing through (18,2)  with slope m= -4/7?

Apr 21, 2018

$y = - \frac{4}{7} x + 12 \frac{2}{7}$

#### Explanation:

Slope-intercept form of an equation: $y = m x + b$ where $m$ is the slope and $b$ is the y-intercept

$y = - \frac{4}{7} x + b \rightarrow$ The slope is given to us, but we do not know the y-intercept

Let's plug in the point $\left(18 , 2\right)$ and solve:

$2 = - \frac{4}{7} \cdot 18 + b$

$2 = - \frac{72}{7} + b$

$2 = - 10 \frac{2}{7} + b$

$b = 12 \frac{2}{7}$

$y = - \frac{4}{7} x + 12 \frac{2}{7}$