use the table to answer the question. x,y
1,4
−3,8
Find the rate of change and the initial value of the linear function given as a table of values. (1 point) The rate of change is m=, and the initial value is b=.
To find the rate of change, we can use the formula:
rate of change = (change in y) / (change in x)
First, let's find the change in y by subtracting the y-values:
8 - 4 = 4
Next, let's find the change in x by subtracting the x-values:
-3 - 1 = -4
Now, we can calculate the rate of change:
rate of change = 4 / -4 = -1
Therefore, the rate of change is -1.
To find the initial value, we can rearrange the equation of a line in slope-intercept form (y = mx + b) to solve for b:
y = mx + b
4 = -1(1) + b
4 = -1 + b
b = 5
Therefore, the initial value is 5.