Question 369583
First, put the equation in slope-intercept form:
{{{3x+5y=9}}}
{{{5y=-3x+9}}}
{{{y=(-3/5)x+9/5}}}
 
Because perpendicular lines have slopes that are opposite reciprocals, the equation that is perpendicular to the given line is:
{{{y=(5/3)x+9/5}}}