Question

Write a linear function f with the values f(3)=2 and f(0)=6

Answer 1

f(x) = -⁴/₃x + 6

Explanation:

f(0) = 6 means y-intercept b = 6

So we have:

f(x) = mx + 6 and f(3) = 2

So:

2 = m×3 + 6

3m + 6 = 2

3m = 2 - 6

3m = -4

m = -⁴/₃

Therefore the function:

f(x) = -⁴/₃x + 6

Answer 2

for f(3)=2 is y=(2/3)x

Explanation:

y=ax

and plug x and y into the parent function.