Homework SourseA proportional relationship Will always have a graph that fo
A proportional relationship
| Will always have a graph that forms a straight line and passes through the origin. |
Solution
A proportional relationship between two quantities is one in which the two quantities vary directly with one another. Two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function Also, another way to express the ideae of proportional relationship \" A quantity y is directly proportional to a quantity x if y = mx for some m > 0. m is called the constant of proportionality.\"
Thus, a proportional relationship will always have a graph that forms a straight line and passes through the origin and the line will always have a positive slope. A proportional relationship can also be represented with an equation of the form stated above.
