Oh, what a lovely question! To create a graph of a proportional relationship, you'll need two important components: the x and y axes. The x-axis represents the independent variable, like time or distance, while the y-axis represents the dependent variable, such as speed or cost. By plotting points where the values are directly proportional, you can connect them with a straight line that passes through the origin. Happy graphing!
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
Yes.
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.
The graph doesn't intersect either axis.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
It is true in the case of inversely proportional relationship.
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
Yes.
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
It can be either a straight line through the origin or a hyperbola.
An inversely proportional graph is one where the relationship between two variables is such that as one variable increases, the other variable decreases at a constant rate. This relationship is usually represented by a curve that slopes downwards from left to right.
The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right).
It's a slanted straight line that goes through the origin of the coordinates.