Question #1335e

1 Answer
Oct 5, 2017

y = #-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 = (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 = (-4 - 0)/(7 - 0) = -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 #-4/7# for m, leaving you with y = #-4/7#x.