Step 1: Find the slope<span> of the </span>line<span>. To find the </span>slope<span> of the given </span>line<span> we need to get the </span>line<span> into </span>slope-intercept form<span> (</span>y<span> = mx + </span>b), which means we need to solve fory<span>: The </span>slope<span> of the </span>line<span> 3x – 5y = 9 is m = </span>3<span>/5. Therefore, the </span>slope<span> of the </span>line parallel<span> to this </span>line<span> would </span>have<span> to be m = </span>3<span>/5.