Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4 - Page 360: 10

$5x-11y=0$

Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with the given point $( 0,0 )$ and slope $m= \dfrac{5}{11} $ is \begin{array}{l}\require{cancel} y-0=\dfrac{5}{11}(x-0) \\\\ y=\dfrac{5}{11}x \\\\ 11y=5x \\\\ -5x+11y=0 \\\\ 5x-11y=0 .\end{array}