Answer:
The slope of a line can be determined by examining the coefficient of the x term in the equation of the line. In the equation y = -1/2x + 1/4, the coefficient of the x term is -1/2.
The slope of the line is the ratio of the vertical change (change in y) to the horizontal change (change in x) between any two points on the line. In this case, since the coefficient of x is -1/2, the slope of the line is also -1/2.
This means that for every 1 unit increase in x, the corresponding y value will decrease by 1/2 unit. Similarly, for every 1 unit decrease in x, the corresponding y value will increase by 1/2 unit.
In graphical terms, the slope of -1/2 indicates that the line has a negative slope, meaning it slopes downwards from left to right. The steeper the slope (i.e., the larger the absolute value of the coefficient), the steeper the line.
So, the slope of the line represented by the equation y = -1/2x + 1/4 is -1/2.
Explanation: