Let's start by expressing f(-1)=-6 as (-1,-6), and f(4)=- 6 as (4,- 6). Equations in point-slope form follow a specific format.
y- y_1= m(x- x_1)
In this form, m is the slope of the line and ( x_1, y_1) is a point on the line. Here, we are given that the line passes through two known points.
(-1,-6) and (4, - 6)
To determine the slope of the line, we use the Slope Formula.
Now that we know the slope of the line is 0, we can write the equation of the line in point-slope form. We can use either of the given points as (x_1,y_1) in our equation. Let's use ( - 1, -6).
Now, we can write the equation in terms of f(x).
f(x) = - 6
Please note that if we substitute any point of the line into the point-slope equation, we will get the same answer, since the slope is 0.
