Final answer:
The equation y=12x represents a straight line passing through the origin with a slope of 12. For every unit increase in x, y increases by 12 units. This relationship can be visualized on a graph.
Step-by-step explanation:
Given the equation y=12x, you can construct a graph knowing that the constant of proportionality 'c' is 12. This constant represents the slope of the line which in effect derives the relationship between x and y and is a measure of the steepness of the line. As this line passes through the origin, its equation can also be represented in the form y=mx, where m is the slope.
So, for every additional unit increase in x, y will increase by 12 units, moving upwards to the right. For example, when x is 1, y will be 12x1=12, when x is 2, y will be 12x2=24 and so forth. By plotting these (x,y) pairs, you will get an upward sloping straight line passing through the origin (0,0). The steepness or the incline of the line is determined by the coefficient of x, which is 12 in this case.
Learn more about Graphing Linear Equations