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
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
direct square variation is a function that relates the same or equal constant ratio. It is a function that is typically used in different kinds of algebra.
They have the same slope. If you write the lines in the slope-intercept form, you will get, for each line: y = ax + b where a is the slope, and b is the y-intercept (where the line crosses the y-axis). For two or more parallel lines, the coefficient "a" will be the same.
Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?
yes y=kx is the formula for direct variation, and k represents constant of variation which can also be called slope.
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
Yes.
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
Collinear slope.
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
A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.
No; each ratio has to be the same for a direct variation.
It depends on what constitutes different looking: how similar must the equations be before you see that they are the same. If both equations are in the point-slope form, the coefficients of one equation must be a fixed multiple of the coefficients of the other.
By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.