Question 238462
Transform the given line equation into slope/intercept form
{{{5x/2 + 3y/2  = 49/10 }}} subtract 5x/2 from both sides
{{{3y/2 = -5x/2 + 49/10}}} multiply both sides by 2/3
{{{y = -5x/3 + 49/15}}}
Now you have the line in the form y=mx  +b
m = -5/3 so that's the slope
final answer ... C