Question 810819
first thing you want to do is solve the equation for y
{{{2x+5y=3}}}
{{{5y=-2x+3}}}
{{{y=(-2/5)x+3/5}}}
The slope of this equation is {{{-2/5}}}
we want a slope that is perpendicular to this slope so flip it and take its oposite.
{{{5/2}}} is the new slope.
{{{y=(5/2)x+b}}}
now plug in the point they gave you to find b.
{{{-5=(5/2)*3+b}}}
{{{-5=7.5+b}}}
{{{b=-12.5}}}
plug in to find your answer.
{{{y=(5/2)x-12.5}}}