Solve 4x-3y=-9 for y. It would be y=4/3x+3. Then, since the slope is 4/3 the slope for the parallel line would also be 4/3 because they are parallel to each other. Now plug in the points (6,5) into the standard form: y=mx+b. We know y=5, x=6, and m=4/3. It would be 5=4/3(6)+b. Now solve for b which would be -3. Therefore the equation is: y=4/3x-3.
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