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,



We need to write this equation in the slope intercept form to obtain,





The slope of this line is


Let the slope of the perpendicular line be



Then




This implies that,





Let the equation of the perpendicular line be,



We substitute the slope to get,



Since this line passes through

it must satisfy its equation.

This means that,









Wherefore the slope-intercept form is