Answer:
f(x) = (3/2)x +9/2
Explanation:
When you are given a point and a slope, the point-slope form of the equation of a line is useful. It can be written as ...
y = m(x -h) +k
for a line with slope m through point (h, k).
Filling in your numbers gives ...
y = (3/2)(x -4) +10.5
y = (3/2)x -6 + 10.5 . . . . . use the distributive property
y = (3/2)x + 9/2
Written in functional form, this is ...
f(x) = (3/2)x + 9/2