Write a linear function f with f(-10)=4.5 and f(-2)=4.5

Answer 1

f(-10) = 4.5 means the point (-10, 4.5) is on the line and f(-2) = 4.5 is on the line. Since both points share the y-value of 4.5 then the linear function is:

y = 4.5

Answer 2

y = mx + b

4.5 = m(-10) +b

4.5 = m(-2) + b

From the first equation: b = 4.5 + 10m

Substitute into the second equation.

4.5 = -2m + 4.5 + 10m

4.5 = 8m + 4.5

0 = 8m

0 = m

y = b

Substitute 0 for m into the first equation, and y for b

4.5 = 0 + y

4.5=y