Consider the function y= 8-2x. What is the effect on the graph for the given function of the slope of the function is changed to-10. A. Line shifts up. B line shifts down c. Line is more steep d. Line is less steep
The slope of a linear function determines the steepness of the line. In the original function, y = 8-2x, the slope is -2. Changing the slope to -10 would make the line steeper, so the correct answer is c. Line is more steep.
To determine the effect on the graph when the slope of the function is changed, we need to compare the original slope, which is -2, to the new slope, -10.
The slope of a linear function determines its steepness. A larger slope value indicates a steeper line, while a smaller slope value indicates a less steep line.
In this case, since the original slope is -2 and the new slope is -10, the new slope is larger in magnitude. Therefore, the correct answer is:
C. Line is more steep.
So, when the slope of the function is changed to -10, the graph will be steeper compared to the original graph.
To determine the effect on the graph of the given function when the slope is changed to -10, we need to understand the relationship between slope and the characteristics of the graph.
The slope of a linear function determines its steepness. A positive slope indicates an upward slant, while a negative slope indicates a downward slant. Specifically, a larger positive slope leads to a steeper upward slant, while a larger negative slope results in a steeper downward slant.
Given the function y = 8 - 2x, the original slope is -2.
Now, if we change the slope to -10, which is a larger negative value, the line becomes steeper in the downward direction.
Therefore, the correct answer is option C: The line is more steep.