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To determine the equation of a direct variation, you start by identifying the relationship between the two variables, typically represented as ( y ) and ( x ). The equation can be expressed in the form ( y = kx ), where ( k ) is the constant of variation. To find ( k ), you can use a set of values for ( y ) and ( x ) and solve for ( k ) by rearranging the equation to ( k = \frac{y}{x} ). Once you have ( k ), you can write the complete equation of the direct variation.
What else can I help you with?
What is the y-intercept of the graph of a direct variation equation?
Graphs of direct variation pass through the origin so the y-intercept would be 0.
Is the equation Y MX B a constant of variation?
No, it is a linear equation which does not pass through the origin unless B = 0. If B = 0 then Y and X could be said to vary in direct proportion and M would be the constant of variation, not the whole equation.
Does y vary directly with x in the equation y equals 5x?
Yes, this is an example of direct variation.A:This is a direct variation because both are in the numerator of a fraction and on opposite sides of the = sign. If they are both on the same side of the equals sign, then one would have to be in the numerator and the other in the denominator for them to be a direct variation.
Is -3x -35y equals 14 a direct variation?
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.
Can The graphs of two different direct variations can be parallel?
No, the graphs of two different direct variations cannot be parallel. Direct variation is represented by the equation ( y = kx ), where ( k ) is the constant of variation. For two direct variations to be parallel, they would need to have the same slope, which means they would have the same value of ( k ). However, since the variations are different, they must have different values of ( k ), resulting in non-parallel graphs.
What is the y-intercept of the graph of a direct variation equation?
Graphs of direct variation pass through the origin so the y-intercept would be 0.
Is the equation Y MX B a constant of variation?
No, it is a linear equation which does not pass through the origin unless B = 0. If B = 0 then Y and X could be said to vary in direct proportion and M would be the constant of variation, not the whole equation.
In a table if the ratios weren't equivalent would it still be direct variation?
No; each ratio has to be the same for a direct variation.
Does y vary directly with x in the equation y equals 5x?
Yes, this is an example of direct variation.A:This is a direct variation because both are in the numerator of a fraction and on opposite sides of the = sign. If they are both on the same side of the equals sign, then one would have to be in the numerator and the other in the denominator for them to be a direct variation.
What is the difference direct variation and inverse variation?
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
Can you have a negative coefficient in a direct variation?
Yes, you can have a negative coefficient in a direct variation. So if you had y = -7x, that would be a direct variation. If you have y = -x, I do not know, if that is what you mean. Hope it helped.
How would you go about solving this direct variation question and what is the answer- If P varies directly as the square of Q and the constant of variation is 6 what is the value of P when Q equals 12?
If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864
Is -3x -35y equals 14 a direct variation?
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.
Can The graphs of two different direct variations can be parallel?
No, the graphs of two different direct variations cannot be parallel. Direct variation is represented by the equation ( y = kx ), where ( k ) is the constant of variation. For two direct variations to be parallel, they would need to have the same slope, which means they would have the same value of ( k ). However, since the variations are different, they must have different values of ( k ), resulting in non-parallel graphs.
What is direct variation and how would solve direct variations?
k=0.3 and x=65
How would you determine the difference between a solution and an equation?
An equation can lead to a solution.
Tommy averages one hit for each five times at bat Use a direct variation formula to determine how many hits would be expected from Tommy after 20 times at bat?
4 hits.
