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Answer:
The required linear equation satisfying the given conditions f(-1)=4 and f(5)=1 is
Step-by-step explanation:
It is given that f(-1)=4 and f(5)=1.
It is required to find out a linear equation satisfying the conditions f(-1)=4
and f(5)=1. linear equation of the line in the form
Step 1 of 4
Observe, f(-1)=4 gives the point (-1,4)
And f(5)=1 gives the point (5,1).
This means that the function f(x) satisfies the points (-1,4) and (5,1).
Step 2 of 4
Now find out the slope of a line passing through the points (-1,4) and (5,1),
Step 3 of 4
Now use the slope and use one of the two given points and write the equation in point-slope form:
Distribute ,
Step 4 of 4
This linear function can be written in the slope-intercept form by adding 1 on both sides,
So, this is the required linear equation.