Answer:
f(x) = 5/6x +21
Explanation:
You want the equation of the line with slope 5/6 through point (-18, 6) written using function notation.
Point-slope form
Given a slope and a point, it can be useful to write the equation of the line in point-slope form:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
The line of interest has slope m = 5/6 through point (h, k) = (-18, 6), so its equation can be written as ...
y -6 = 5/6(x -(-18))
y = 5/6x +15 +6 . . . . . eliminate parentheses, add 6
y = 5/6x +21
Function notation
Function notation gives a name to the relation, and identifies the independent variable. We want to call this f(x), meaning the name of the relation is "f", and the independent variable is "x". Essentially, "f(x)" replaces "y" in the above equation:
f(x) = 5/6x +21