Question 942909
The slope of a line perpendicular to 2x+5y-3=0  would be {{{5/2}}}; and the y-intercept of 2x+3y+6=0 would be...
3y=-2x-6
y=-2x/3-2
.... is 2.


Directly using slope intercept form,
{{{y=(5/2)x+2}}}
is the equation you want.