# What is the slope intercept form of the line passing through (14,9)  with a slope of -1/7 ?

##### 1 Answer
Jul 20, 2016

$y = - \frac{1}{7} x + 11$

#### Explanation:

When working with equations of straight lines, there is really nifty formula which applies in a case like this. We are given a slope and one point and need to find the equation of the line.

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ where the given point is $\left({x}_{1} , {y}_{1}\right)$

Substitute the values given.

$y - 9 = - \frac{1}{7} \left(x - 14\right) \text{ }$ multiply out and simplify.

$y = - \frac{1}{7} x + 2 + 9$

$y = - \frac{1}{7} x + 11 \text{ }$ is the equation in standard form.