Question

In which graph does y vary directly as x? It’s not C, I got it wrong.

Answer 1

A

Explanation:

A graph where y varies directly as x is a straight line that passes through the origin (0, 0). This is because when two variables vary directly, their ratio is constant, and in the case of y and x, this ratio is the slope of the line.

The equation for direct variation is y = kx, where k is the constant of variation. When we plot this equation on a graph with y on the vertical axis and x on the horizontal axis, we get a straight line that passes through the origin, with a slope of k.

For example, if we have a set of data points that vary directly, such as (1, 2), (2, 4), (3, 6), and so on, we can plot these points on a graph and draw a straight line that passes through the origin and all the points. This line represents the direct variation between y and x, and any other points that satisfy the equation y = kx will lie on this line.

In summary, a graph where y varies directly as x is a straight line that passes through the origin, with a constant slope representing the constant of variation.

Answer 2

Hello there!

Based on my research and information, I really believe that (option a) would actually be your correct answer. I believe this basically because sense the letter k is always constant, we would only divide this by what it is, which is y, and from these, your solution would always look like your (option a). Please inform if correct.
I hope this helps you!