Yes. 6y = 18x can be cancelled down to y = 3x. If drawn on a graph, the gradient of the straight line at any given point would be 3. The line also crosses the point (0, 0) [the origin]
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y=7x
Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?
Yes.
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
40