book Maths Puzzle Numerical Ability

Following an earthquake, two seismologists inspect the surface rupture of the fault that generated the earhtquake. When they are finished collecting data, they get in their cars at

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I need to graph 4x - 7y = 12. I tried to re-write in in intercept slope form but I get y = 4/7x - 12/7 which does not seem right because I cannot plot on graph paper a y-intercept Can you please help me with this equation: 6y+7=3+2(y-4)