Write a linear function f with the values f(2)=-2 and f(1)=1.

Question

Write a linear function f with the values f(2)=−2 and f(1)=1.

Answer 1

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x₁, y₁). As f(x)=y and f(x₁) = y₁

1. We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.
2. Find the slope: M = (y-y₁)/(x - x₁) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3
3. Find the Y intercept by plugging in one of the points for x and y and solving for B
4. Y = 3(X) + B
5. I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2
6. Put them together in slope intercept form: Y = 3(X) -2

Does this help you understand the steps to take to solve this type of problem?