(0,8), (10,15), (20,17), (30,23), (50, 31)

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.

1 answer

a. The graph has a positive slope because the values of y increase as the values of x increase. It is also proportional because the ratio of y to x remains constant. The y-intercept is not provided, so it cannot be determined from the given points.

b. The slope of the graph represents the rate of change between the x and y values. In this case, for every increase of 10 in x, there is an increase of 7 in y, so the slope is 7/10. This means that for every unit increase in x, the y value increases by 0.7 units.

c. Since the y-intercept is not provided, its meaning cannot be determined from the given points.

d. The graph of the line represents a relationship between x and y, where y increases at a constant rate as x increases.