Answer:
y =3/2 x +8
Step-by-step explanation:
2x+3y =9
we need to find the slope
subtract 2x
3y = -2x+9
divide by 3
3/3y = -2/3x+9/3
y = -2/3 x +3
the slope is -2/3
the perpendicular slope is the negative reciprocal
- (-3/2) = 3/2 the new slope is 3/2
point slope form of the line is
y-y1 = m(x-x1)
y-5 = 3/2(x--2)
y-5 = 3/2(x+2)
distribute
y-5=3/2 x+3
add 5 to each side
y = 3/2x +3+5
y =3/2 x +8
