book Maths Puzzle Numerical Ability

3x+4y=12

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A corporate jet has a speed of 600 miles per hour in still air. The jet travels directly north and encouters a 70 mile per hour wind blowing due east. Find the resulting speed of the plane. Round your answer to the nearest mile per hour. Where on the graph of 3x-y = 12 are the x and y coordinates opposites of each other?
I started out by y = mx + b and changed the equation to y = 3x - 12 but i am stuck from there