Answer: f(x) = 3x - 1
Step-by-step explanation:
y - 5 = 3(x - 2); now solve for y;
y = 3(x - 2) + 5; now distribute the 3 and add like terms;
y = 3x - 6 + 5
y = 3x -1 ; replace y with f(x);
f(x) = 3x - 1
Answer: The correct option is (B) [tex]y=3x-1.[/tex]
Step-by-step explanation: We are given to choose a linear function for the following line represented by the point-slope form of the equation :
[tex]y-5=3(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~`(i)[/tex]
Let us consider that y = f(x). Then, all the terms containing x and the constant terms must be bought on the right-hand side.
From equation (i), we have
[tex]y-5=3(x-2)\\\\\Rightarrow y-5=3x-6\\\\\Rightarrow y=3x-6+5\\\\\Rightarrow y=3x-1.[/tex]
Thus, the correct linear function is [tex]y=3x-1.[/tex]
Option (B) is CORRECT.
