Graphs
In science class, we collect data and show the relationship of the data by using a graph. Graphs range from linear to rational to all the others. So far, in my class, we have only gone over the linear graphs and the rational graphs.
Within linear graphs, there are graphs that show a relationship that is directly proportionate, directly linear and no relation. In a linear graph that is directly proportionate, the line is straight and crosses the y-axis at zero. This indicates that the rate of change is constant and that when the x value is zero, the y value is also zero. On the other hand, in a directly linear relationship, the line is straight but does not cross the y-axis at zero. This shows that the rate of change of the data is constant and that when x is zero, y is something other than zero. For example, when I did the Hex Nut lab in physics, the y was not zero, it was 16.4. This y intercept represents the total mass of the container and hex nuts when there is zero hex nuts, which is just the mass of the container. Lastly, in a linear graph, the data can have a no relation relationship. This means that the x of the data does no have any affect on the y of the data. This relationship is represented by a horizontal line.
Finally, I would like to talk about the relationship that an rational graph shows, which is an inverse proportion relationship. In this relationship, the line will never touch neither the x-axis or y-axis. So, the bigger the x value is, the smaller the y value will be. In the lever lab, this proves to be true because every time I use a bigger mass on the lever, the distance from the fulcrum becomes smaller. If this were to be the opposite, with the x value becoming smaller and smaller, then the y value would become bigger and bigger.
All in all, I think that graphs are a helpful way to visually express the relationship of a set of data. I think that talking about the data with the class and teacher helps me understand the data, too. A question that I would like to ask is that for a directly proportionate graph and a no relation graph, can the y-intercepts ever be negative?
Within linear graphs, there are graphs that show a relationship that is directly proportionate, directly linear and no relation. In a linear graph that is directly proportionate, the line is straight and crosses the y-axis at zero. This indicates that the rate of change is constant and that when the x value is zero, the y value is also zero. On the other hand, in a directly linear relationship, the line is straight but does not cross the y-axis at zero. This shows that the rate of change of the data is constant and that when x is zero, y is something other than zero. For example, when I did the Hex Nut lab in physics, the y was not zero, it was 16.4. This y intercept represents the total mass of the container and hex nuts when there is zero hex nuts, which is just the mass of the container. Lastly, in a linear graph, the data can have a no relation relationship. This means that the x of the data does no have any affect on the y of the data. This relationship is represented by a horizontal line.
Finally, I would like to talk about the relationship that an rational graph shows, which is an inverse proportion relationship. In this relationship, the line will never touch neither the x-axis or y-axis. So, the bigger the x value is, the smaller the y value will be. In the lever lab, this proves to be true because every time I use a bigger mass on the lever, the distance from the fulcrum becomes smaller. If this were to be the opposite, with the x value becoming smaller and smaller, then the y value would become bigger and bigger.
All in all, I think that graphs are a helpful way to visually express the relationship of a set of data. I think that talking about the data with the class and teacher helps me understand the data, too. A question that I would like to ask is that for a directly proportionate graph and a no relation graph, can the y-intercepts ever be negative?
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