y=3x is a function because if you graph it, it passes the Vertical Line Test (draw a vertical line anywhere, a function will not touch the line twice or more). Also, it only has one y value for every x value.
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In this case, you'll need to apply the chain rule, first taking the derivative of the tan function, and multiplying by the derivative of 3x: y = tan(3x) ∴ dy/dx = 3sec2(3x)
y=1/3x+3
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
Put in function form. 3X - 2Y = 5 - 2Y = - 3X + 5 Y = 3/2X - 5/2 Y intercept = - 5/2
3x - y = 12 is the same as 3x - 12 = y, or y = 3x - 12.