exam Maths Puzzle Numerical Ability

Graph a line through(-4,1) that is perpendicular to a line whose slope is -3/2.

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We have been trying to figure this out and I fear we are over-thinking it. Therefore making it much more complicated than it actually is..Please help. Determine which two equations represent perpendicular lines.
y=4/9x-5
y =5x-4/9
y= -1/5x +4/9
Y=1/5x-4/9