Yes
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
-2
As for example in the straight line equation: y = 3x+5 the y intercept is 5 and the slope or gradient is 3
no. direct variation implies that you can simplify the problem into several forma which are equivalent to y/x = k in which k is called the constant of variation. one of these equivalent forms would by y = kx + 0 (slope intercept form) in which the y intercept must be 0 rearranging your equation gives a y- intecept of -14/35 which reduces to -2/5 since this is not zero. this is not direct variation.
Yes, it is direct variation.
find the direct variation equation 3x+y=0
Yes
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
-2
As for example in the straight line equation: y = 3x+5 the y intercept is 5 and the slope or gradient is 3
2y=3x
no. direct variation implies that you can simplify the problem into several forma which are equivalent to y/x = k in which k is called the constant of variation. one of these equivalent forms would by y = kx + 0 (slope intercept form) in which the y intercept must be 0 rearranging your equation gives a y- intecept of -14/35 which reduces to -2/5 since this is not zero. this is not direct variation.
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
y = 3x because when x is 2.25 y is 6.75 a ratio of 1 to 3 and so when x is 4.2 y is 12.6
The question is not clear. But if you want this in the form y=kx, then k must be 1.5
No, it is not a direct variation.