Write a linear function f with the values f(10)=5 and f(2)=-3

The linear function with the values and is .

Step-by-step explanation:

Given information:

The values of a liner function

and

So, we can write the slope as:

On, putting the values:

Point (10,5)

Now ,substitute the values in the linear equation:

where, m is the slope.

Now put the values to get the required linear function.

So, the linear function with the values   and will be

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Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

step 2

Find the equation of the line in slope intercept form

we have

substitute and solve for b

The linear function is equal to

all it means is function 3