Guidelines

How do you find the proportional relationship between X and Y?

How do you find the proportional relationship between X and Y?

1.1. Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx.

How can you determine if there is a proportional relationship between X and Y values in a table?

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

How do you find the equation of a relationship?

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We can use the points on a graph of a linear relationship to write an equation for the relationship. The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0).

Which equation represents proportional relationships?

y = kx
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

How do you find proportional relationship?

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

How do you find the proportional relationship in an equation?

The equation that represents a proportional relationship, or a line, is y=kx, where k is the constant of proportionality. Use k=yx from either a table or a graph to find k and create the equation.

Which data shows inversely proportional relationship?

It is opposite to direct proportion. Or, two quantities are said to be inversely proportional. For example the relation between speed and time. Speed and travel time are inversely proportional because the faster we travel, the lesser is the time taken, i.e. greater the speed, the lesser the time.