Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). write your answer in slope-intercept form. show your work.

ANSWER



EXPLANATION

The line given to us has equation,


Let us rewrite in slope intercept form to get,




When we compare to

We can see that, the slope


The slope of the line that is perpendicular this line can be obtained using the relation,



Thus,





Hence the line in slope intercept form becomes,



Since this line passes through

, we substitute it to find the value of










Hence the slope-intercept form is

A