To determine which linear function has the greater rate of change, we need to calculate the slope of each function.
The slope of Linear Function 1 (y = x + 8) is 1.
To find the slope of Linear Function 2, we can use the coordinates of the two plotted points: (2, 6) and (4, 10).
The change in y is 10 - 6 = 4 and the change in x is 4 - 2 = 2, so the slope is 4/2 = 2.
Since the slope of Linear Function 2 is greater than the slope of Linear Function 1, we can conclude that Linear Function 2 has the greater rate of change. Therefore, the answer is 2.
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:
A coordinate plane shows the x-axis ranging from negative 2 to 6 in increments of 1 and the y-axis ranging from negative 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: left parenthesis 2 comma 6 right parenthesis and left parenthesis 4 comma 10 right parenthesis.
(1 point)
Linear Function
has the greater rate of change.
1 answer