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!
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If the scales on the two axes are linear, then the graph must be a straight line through the origin which is not one of the axes..
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.