a. Using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept).
b. Write in words what the slope of the graph means in context.
c. Write in words what the y-intercept of the graph means in context.
d. Write in words what the graph of the line is showing.
a. The graph has a positive slope. The relationship between the variables is proportional because the graph is a straight line. The y-intercept is at approximately 2.
b. The slope of the graph represents the rate of change between the two variables. In this context, it means that for every increase in the x-variable, there is a corresponding increase in the y-variable.
c. The y-intercept of the graph represents the value of the y-variable when the x-variable is zero. In this context, it means that when there are zero units of the x-variable, the y-variable has a value of approximately 2.
d. The graph of the line is showing the relationship between the two variables. It illustrates how the y-variable changes as the x-variable increases, in a proportional manner with a positive slope.