As for example in the straight line equation: y = 3x+5 the y intercept is 5 and the slope or gradient is 3
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y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
No. The origin must be a solution for any direct variation.
No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.
Any function of the form Y = cX where X and Y are variables and c is a constant.
Such an equation is called an IDENTITY.