Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=

We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:

Step-by-step explanation:

Given

f(5) = -1 means at x = 5, y = -1

Hence, the point (5, -1) lies on the line function.

f(0) = -5 means at x = 0, y = -5

Hence, the point (0, -5) lies on the line function.

Thus, the two points on the linear line function graph are:

Finding the slope between the points (5, -1) and (0, -5)

The slope-intercept form of the linear line function

where m is the slope and b is the y-intercept

We have already determined the slope which is: m = 4/5

We know the y-intercept can be determined by setting x = 0 and solving for y.

Thus, the point (0, -5) represents the y-intercept b = -5.

Now, substituting m = 4/5 and b = -5 in the slope-intercept form

y = 4/5x + (-5)

y = 4/5x - 5

Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be: