Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2.
Linear Function 1: y = x + 8
Linear Function 2: ?
Use the image to answer the question.
A coordinate plane shows the x-axis ranging from negative 2 to 6 in increments of 1 and the y-axis ranging from -2 to 12 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: (2, 6) and (4, 10).
The slope of a linear function represents its rate of change. To determine the slope, we can use the formula:
slope = (change in y) / (change in x)
For Linear Function 1, the slope is 1 because for every 1 unit increase in x, there is a 1 unit increase in y.
For Linear Function 2, we do not have enough information to determine the slope based on the image. The coordinates provided for the plotted points do not specify the entire line or equation for Linear Function 2.
Therefore, the greater rate of change belongs to Linear Function 1.