Question

How can you identify a linear non proportional relationship from a table, graph, and an equation?

Answer 1

A linear non-proportional relationship can be identified from a table, graph, and an equation by looking at the rate of change between the variables.

Step-by-step explanation:

A linear non-proportional relationship can be identified from a table, graph, and an equation by looking at the rate of change between the variables. In a linear non-proportional relationship, the rate of change is not constant. Here are the steps to identify a linear non-proportional relationship:

• Table: Look for unequal differences between the x-values and y-values. If the differences are not constant, the relationship is linear non-proportional.
• Graph: Look for a curved or non-linear pattern. In a linear non-proportional relationship, the graph will not form a straight line.
• Equation: Calculate the slope between two points on the line. If the slope is not constant, the relationship is linear non-proportional.

Answer 2

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where
`b\\eq 0` , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .