6y = 4x^2 y = (4/6)x^2 y = (2/3)x^2 Option B: 2/3
1
No, it is not a direct variation.
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
y equals 4x+1 is a parallel line to y equals 4x.
6y = 4x^2 y = (4/6)x^2 y = (2/3)x^2 Option B: 2/3
4x= y
1
1
No, it is not a direct variation.
50
find the constant of variation and the slope of the given line from the graph of y=2.5x
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
y equals 4x+1 is a parallel line to y equals 4x.
y = kx: 10 = 37k so k = 10/37 and y = 10x/37
4x = y : or it can be written in the reverse order, y = 4x.
2