# Question #1335e

Oct 5, 2017

y = $- \frac{4}{7}$x

#### Explanation:

First, you must find the slope of the line. The slope equation is colloquially equal to "rise over run"; in math terms, it's merely:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

We have two points [(7, -4) and (0, 0)], so plugging into this formula, we get:

$m = \frac{- 4 - 0}{7 - 0} = - \frac{4}{7}$

Since the line goes through the origin, there is no b value to the slope-intercept form (y = mx + b). So all you have to do is plug in $- \frac{4}{7}$ for m, leaving you with y = $- \frac{4}{7}$x.