Question
Find a linear function $f(x)=a x+b$ that satisfies both of the given conditions.$$f(-1)=5, f(1)=6$$
Step 1
We can use the formula for the slope of a line given two points, which is $(y_2 - y_1) / (x_2 - x_1)$. Here, $(x_1, y_1) = (-1, 5)$ and $(x_2, y_2) = (1, 6)$. So, the slope $a$ is $$ a = \frac{6 - 5}{1 - (-1)} = \frac{1}{2}. $$ Show more…
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