The equation y=2x+7 represents a linear relationship that is non-proportional. What changes could I make to the equation to make it proportional?
Thanks
To make the equation y = 2x + 7 proportional, you need to remove the constant term. In a proportional relationship, the equation takes the form y = kx, where k represents the constant of proportionality. This means that for every value of x, y will be directly proportional to x.
To modify the given equation, y = 2x + 7, you can set the constant term, 7, to zero. This gives you y = 2x, which represents a proportional relationship. Now, for every increase in x, y will increase by a factor of 2.
So, to make the equation proportional, simply remove the constant term by setting it to zero.
To make the equation y = 2x + 7 proportional, you would need to change the coefficient of x. In a proportional relationship, the coefficient of x represents the constant of proportionality.
In this case, the coefficient of x is 2. To make it proportional, you would need to choose a different value for the coefficient of x that ensures y is directly proportional to x. A common choice for a proportional relationship would be a coefficient of 1.
So, to make the equation proportional, you can change it to y = x + 7.