Final answer:
The slope of the line represented by the equation 5x - 10y = 40 is obtained by rearranging the equation into the slope-intercept form, yielding a slope of 0.5, which corresponds to option C) 1/2.
Step-by-step explanation:
The slope of the line represented by the equation 5x - 10y = 40 can be found by rearranging the equation into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. First, we isolate the y variable:
- 5x - 10y = 40
- -10y = -5x + 40
- y = ⅛ x - 4
From the above steps, we can see that the coefficient of x, which is ⅛ or 0.5, is the slope of the line. Therefore, the slope of the line is 0.5, which corresponds to option C) ⅛. It is important to note that the slope is positive because as x increases, y also increases, indicating the line goes upwards on the graph.