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.
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.
Yes.
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.
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.
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).
If the graph is for Ohmic components e.g resistor or wires -Constant gradient -V is proportional to I The second graph is for Non-Ohmic components e.g Filament lamps/diodes -(v is NOT proportional to I) -Gradient is high at the origin (0,0) and low at the top due to an increase in resistance Hope this helps!! I couldn't put the pictures on, but just google a Filament lamp graph and they will come up :)
It's a slanted straight line that goes through the origin of the coordinates.