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Do all linear equations need to be proportional?
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
What are the properties of proportional and non-proportional tables and graphs?
If two quantities are proportional, then they have a constant ratio.If the ratio is not constant, the two quantities are said to be non-proportional.Proportional will always go through the origin on a graph. (0,0)Graph will always be a straight line.Non-proportional line does not go through the origin.
What is directly and invertly related on a graph?
The x value and the y value are directly and invertly related on a graph. This only occurs in a specific type of graph called a proportional graph.
How do you determine velocity using a position-time graph?
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
How do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
