No, because a slope needs to be negative and opposite the other slope to be perpendicular and in this problem it is not.
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They are perpendicular lines because the slopes are 3/4 and -4/3 respectively.
y = -x/4
The line x = -4 is vertical, so a line that is perpendicular to it is horizontal, so its slope is 0.
Parallel. They both have a slope of 4.
y = 1/3x+4