Question

Write a linear function f with the values f(5)=-2 and f(-6)=-4

Answer 1

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.

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