a. The graph has a positive slope, meaning that as the x-values increase, the y-values also increase. The graph is proportional, as the line passes through the origin (0,0) indicating a direct relationship between x and y values. The y-intercept is at 0, meaning that when x is 0, the y-value is also 0.
b. The slope of the graph represents the rate of change or the speed at which the y-values increase as the x-values increase. In context, it could represent the speed of a car or the number of items produced per hour, for example.
c. The y-intercept of the graph represents the value of y when x is 0. In context, it could represent the initial value or starting point of a situation. For example, if the graph represents distance over time, the y-intercept could represent the initial distance.
d. The graph of the line is showing a direct and proportional relationship between x and y values, with a positive rate of change.
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.
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