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First, get y on its own to find the slope. 7y = 3-4x Y = 3/7 - 4/7X So slope is -4/7 so we just inverse it and multiply by (-1) to find perpendicular. Which is 7/4.
So using point slope Y-(-7)=7/4(X-(-4)) Y+7=7/4(X+4) Y= 7/4X + 28/4 -7 Y= 7/4X
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