Compares the rates of change of the following items. y=-0.5+1 or a line which passes through the points (-2,0) and (0,-1)
To compare the rates of change of two items, we need to find the slopes of their corresponding lines.
For the equation y = -0.5x + 1, the slope of the line can be determined from the coefficient of x, which is -0.5. Therefore, the slope of this line is -0.5.
To find the slope of the line passing through the points (-2,0) and (0,-1), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given points: (-2,0) and (0,-1)
x1 = -2, y1 = 0
x2 = 0, y2 = -1
slope = (-1 - 0) / (0 - (-2))
= (-1) / (2)
= -1/2
Comparing the slopes, we have:
Slope of y = -0.5x + 1: -0.5
Slope of line passing through (-2,0) and (0,-1): -1/2
Therefore, the rate of change of the line passing through (-2,0) and (0,-1) is greater than the rate of change of y = -0.5x + 1.