Final answer:
To write a linear function with the values f(5) = -2 and f(-6) = -4, we need to find the slope and y-intercept of the linear function.
Step-by-step explanation:
To write a linear function with the given values, we first need to find the slope (m) and the y-intercept (b). The general form of a linear function is y = mx + b.
Given f(5) = -2, we can substitute this into the equation to get -2 = 5m + b.
Similarly, given f(-6) = -4, we can substitute this into the equation to get -4 = -6m + b.
Now, we have a system of two equations:
-2 = 5m + b and -4 = -6m + b.
We can solve these two equations simultaneously to find the values of m and b.
Learn more about Writing a linear function