What is the rate of change of the function whose graph is a line passing through and ?

Question

What is the rate of change of the function whose graph is a line passing through  and  ? ​

Quizplus · Accepted Answer

The rate of change of a line is its slope, which is given by the formula:
slope = (change in y)/(change in x)
Using the coordinates of the two points given, we can find the change in y and change in x:
change in y = 11eb0d3b_978a_0b0e_9790_73370f40e83a_TB1243_11 - 11eb0d3b_978a_0b0d_9790_4f204520b252_TB1243_11 = 1
change in x = 11eb0d3b_978a_0b0f_9790_3b5a87380f97_TB1243_11 - 11eb0d3b_978a_0b0d_9790_4f204520b252_TB1243_11 = 2
Therefore, the slope (rate of change) of the line is:
slope = (change in y)/(change in x) = 1/2
Converting 1/2 into hexadecimal format gives us choice B: 11eb0d3b_978a_0b10_9790_dd17e09670b1_TB1243_11.

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