Question

Which of the following graphs show a proportional relationship?

Answer 1

The graph of proportional relationship is the straight line in Quadrant I and start in the origin.

Look at the picture.

Answer 2

Answer:

Third graph.

Step-by-step explanation:

The third chart, the one which shows a line.

The third chart is showing a linear function, which is bases on a proportional relationship between two variables, their ratio (which is the slope of the line) can be positive or negative, when it's positive, it means that the ratio of change is increasing, if it's negative, their ratio of change is decreasing. In other words, when this ratio is negative, the function decreases and the line is inclined to the left, when the ratio is positive, the function increases and the line is inclined to the right.

The most basic proportion function, or linear function is $y=x$, the one shown in the third graph, it's translated two units upwards, that's the difference.

Therefore, the linear graph is shown a proportional linear relation between the independent variable (x), and the dependent variable (y).