1.)A linear relationship that is represented by the equation, y=mx+b. In this equation, the y is the dependent variable or the out put. An example is on a graph, it would be the distance. The m is the coefficient of x. In other words, this is the rate. The x in this equation is the independent variable, or the input. On a graph, this would be known as the time. and finally the b. The b is the y intercept. For an example, the y intercept is like in a race, someone gets a head start. Or if there is like a problem with a price that moves at a constant rate. The y intercept would be like if you pay first a little price to start off then move at a constant rate.
2a.)For a table, you can use it to solve a problem by seeing all the numbers that go up a constant rate and then put them in the problem you are trying to solve. Then for a graph you can see on the graph, the way it is plotted how it moves up. Then you can just read how it moves up then put what you see in the problem.
2b.) I have used an equation to solve a problem by putting the numbers needed in the equation, substituting the variables and then just simply solving the equation. Or if i am making up my own equation to show other people how to solve then i would simply do the work I did Backwards to find the equation that I am looking for.
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