Final answer:
The slope of a line, represented by m, is the rise over the run between two points on a line. Without specific data points from the table, it is not possible to determine which slope option is correct. The student needs to calculate the rise and run between two points to find the slope.
Step-by-step explanation:
The student is asking to determine the slope of a line when given values in a table. The slope, denoted by m, represents the rise over run of a straight line on a graph. To find the slope, one must calculate the difference in y-values (rise) over the difference in x-values (run) between two distinct points on the line.
With only the choices given in the question but no specific values or points from the table provided, we cannot compute an exact slope. However, we can discuss the concept through an illustrative example. If a line on a graph shows that for every increase of 1 on the x-axis (the run), the value on the y-axis increases by 3, then the slope of the line (m) is 3, as indicated by the formula: m = rise/run.
Without the specific data points, it's not possible to choose between options A (m = 15/2), B (m = 5/2), C (m = -2/5), or D (m = -5/2). The student would need to apply the process of determining the rise and run between two points on the line represented in their table to find out the correct slope.
The complete question is:Determine the slope of the line represented by the values in the table.
A. m= 15/2
B. m=5/2
C. m= -2/5
D. m= -5/2