Question 1061729
The slope of perpendicular lines is the negative reciprocal.  Invert the fraction and change the sign: 3/2.
The slope of the line which is 3y=-2x+6 or y=(-2/3)x+2 is -2/3.  the answer is the same as the first, 3/2.
Once you have the perpendicular line and the slope, you have the equation.
2y=4x+7
y=2x+(7/2)
The slope is 2
the perpendicular line has slope -1/2.
the equation of the line is y=-1/2x +5.