y = kx, where k is a constant, and x and y are the two variables.
No. This is not true. It is false. The equation is an example of direct variation.
Graphs of direct variation pass through the origin so the y-intercept would be 0.
An equation in slope-intercept form (y = mx + b) represents a direct variation only when the y-intercept (b) is zero, making it (y = mx). If (b) is non-zero, the equation does not represent a direct variation, which is defined as a linear relationship that passes through the origin. Therefore, it is "sometimes" true that an equation in slope-intercept form represents a direct variation, depending on the value of (b).
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
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
find the direct variation equation 3x+y=0
There is only one equation that is given in the question and that equation is not a direct variation.
No. This is not true. It is false. The equation is an example of direct variation.
There are three ways: a table, a graph, and an equation.
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
Y=1/x
equation, table or a graph
Graphs of direct variation pass through the origin so the y-intercept would be 0.
An equation in slope-intercept form (y = mx + b) represents a direct variation only when the y-intercept (b) is zero, making it (y = mx). If (b) is non-zero, the equation does not represent a direct variation, which is defined as a linear relationship that passes through the origin. Therefore, it is "sometimes" true that an equation in slope-intercept form represents a direct variation, depending on the value of (b).
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
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
Without an equality sign the information given does not represent an equation.