Identifying Proportional Relationships

What is the origin in a graph?

• The point where the x-axis and y-axis intersect at (0,0)

• The highest point on the graph

• The point where the graph starts

• The point where the x-axis meets the y-axis at (1,1)

What does it mean if a graph is proportional?

• It passes through the origin (0,0) and forms a straight line.

• It has a curved shape and does not pass through the origin.

• It can be any shape and may or may not pass through the origin.

• It is a horizontal line that does not change in value.

What is the significance of the point (0,0) in a proportional graph?

• It indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

• It represents the maximum value of the proportional relationship.

• It shows the intersection of the graph with the x-axis only.

• It indicates that the two quantities are inversely proportional.

Can a graph be both proportional and non-proportional?

• Yes, a graph can be both proportional and non-proportional.

• No, a graph cannot be both proportional and non-proportional; it must fit one definition or the other.

• A graph can be proportional in some parts and non-proportional in others.

• It depends on the type of graph being used.

How do you graph ordered pairs from a table?

• Plot each pair on a coordinate plane, marking the x-value on the horizontal axis and the y-value on the vertical axis.

• Draw a line connecting all the points in the table.

• Only plot the x-values on the horizontal axis and ignore the y-values.

• Use a ruler to draw a straight line through the origin and the points.

What is the requirement for a graph to be considered proportional?

• It must pass through the origin (0,0) and be a straight line.

• It can be a curved line that passes through the origin.

• It must have a positive slope only.

• It can intersect the y-axis at any point.

What is the slope of a proportional graph?

• It is always zero.

• It varies depending on the graph.

• It is constant and represents the rate of change between the two quantities.

• It is undefined.

How can you determine if a table of values is proportional?

• A table of values is proportional if the ratios of corresponding values are constant.

• A table of values is proportional if the sum of all values is equal.

• A table of values is proportional if the values increase by the same amount each time.

• A table of values is proportional if the first value is always the largest.

What is an ordered pair in a graph?

• A pair of numbers used to locate a point on a graph, typically written as (x,y).

• A single number representing a point on a graph.

• A set of three numbers used to define a plane.

• A pair of letters used to label points on a graph.

What is a proportional relationship?

• A relationship where one quantity is always greater than the other.

• A relationship between two quantities where the ratio of one quantity to the other is constant.

• A relationship that changes over time without any fixed ratio.

• A relationship that only applies to whole numbers.