Answer:
y = -3/2x - 3.
Explanation:
The line y = 2/3x + 4 has a slope of 2/3 so a line perpendicular to it has
a slope of -1 / 2/3 = -3/2.
So the required line has the equation:
y - y1 = -3/2(x - x1) where (x1, y1) is a point on this line.
Substituting x1 = 2 and y1 = -6, we have:
y - -6 = -3/2(x - 2)
y + 6 = -3/2x + 3
y = -3/2x - 3