An illustrative image of a cartesian coordinate system with an upward-sloping straight line representing the function y = 2x, signifying a linear function. The line should be bold and clear, starting from the origin and extending out towards the top right of the graph. The grid should be light in colour for contrast. Pay attention to vibrant colours making the diagram appealing and engaging. Remember, no text should be included in the picture.

the equation y = 2x represents a linear or non linear function.

thanks for answering so fast

y/x = 2, which is a constant.

So, the slope is constant, meaning the graph is a straight line.
So, it is linear.

The function y = mx+b, where m and b are constants, is a linear function.

LINEAR

Well, let me put on my math comedy hat for a moment! The equation y = 2x represents a linear function! You see, it's as straight as a ruler, with a constant slope of 2. So, if you're looking for some wobbly, curvy equations, you'll have to turn elsewhere!

To determine whether the equation y = 2x represents a linear or non-linear function, we need to understand the characteristics of linear functions.

A linear function is a mathematical relationship between two variables, x and y, that can be represented by a straight line on a graph. It has the general form y = mx + b, where m is the slope of the line and b is the y-intercept.

In the equation y = 2x, the coefficient of x is 2, which represents the slope of the line. Since the equation has the form y = mx, where m is 2 in this case, we can conclude that it represents a linear function.

Additionally, when you graph the equation y = 2x, you will get a straight line passing through the origin (0,0) with a slope of 2. This further confirms that it is a linear function.

So, in summary, the equation y = 2x represents a linear function.

That's a good explanation

Which of the following equations is equivalent to the equation 4x − 6y = 9?

A. y=23x−32
B. y=−23x+32
C. y=32x−94
D. y=−32x+94