Question

write the slope intercept equation for the line that passes through (-2,3)and is perpendicular to 2x-9y=-12

Answer 1

perpendicular lines have slopes related as : m2 = -1/m1
since given slope m1 is 2/9; m1 is -9/2
Required equation is y=(-9/2)x + c
put (-2,3) in this equation,
3=9 + c
or c=-6 (which is the y intercept)

hence final equation is y=(-9/2)x - 6