Answer:y=1/2x-41/2
Step-by-step explanation: First we have to find the slope of the line that's given, y - 4 = 2(x+2). The slope is 2 (if we multiply 2*x we would get 2x and the 2 is the slope).
Two lines are perpendicular if their slopes are negative reciprocals. So if the first line has a slope of 2, a perpendicular line would have a slope of -1/2
Now we have to find the equation for the line with slope of -1/2 that passes through the point (3,3). If we use the point-intercept form we can write it as:
y = mx + b
Since the slope is -1/2 and we know that when x = 3, y = 3 (since the line passes through that point) we can substitute the values and solve for b
y = mx+b
3 = -1/2 *3 + b
3 = -3/2 + b
3 = -11/2 + b
41/2 = b
Now we can write the equation as
y = -1/2x + 41/2