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dusya [7]
3 years ago
8

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

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

f(x)=x-5

Step-by-step explanation:

step 1

Find the slope m

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

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

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

substitute the values

m=\frac{-3-5}{2-10}

m=\frac{-8}{-8}

m=1

step 2

Find the equation of the line in slope intercept form

f(x)=mx+b

we have

m=1

point\ (10,5)

substitute and solve for b

5=(1)(10)+b

5=10+b

b=-5

The linear function is equal to

f(x)=x-5

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