Write an equation of a line in slope intercept form

Question

anonymous · Answer

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

anonymous · Answer

y=2x-12/3 so the slope is 2/3
then the slope perp to it will be -3/2
and eqn for that will be y-y1=m(x-x1), all you have to do is put the points

anonymous · Answer

2x - 3y = 12
-2x            -2x
-3y = -2x + 12
-3y/-3 = -2x/-3 + 12/-3
y = 2/3x + (-4)
y = 2/3x -4

anonymous · Answer

thanks

anonymous · Answer

@victoria_davis_2018 can you explain why you subtracted?

anonymous · Answer

yeah sorry it took me so long I was talking to my aunt. I subtracted to reverse the process and to reverse the process and get something by itself you have to do the opposite of what the problem is doing do you understand?