Question

writing a linear function using the point - slope form of an equation
choose a linear function for the line represented by the point - slope equation $y - 5 = 3(x - 2)$.
$\circ$ $f(x)=3x + 1$
$\circ$ $f(x)=3x - 1$
$\circ$ $f(x)=8x + 10$
$\circ$ $f(x)=8x - 10$

Explanation:

Step1: Expand the right-hand side

$y - 5 = 3x - 6$

Step2: Isolate $y$ by adding 5

$y = 3x - 6 + 5$

Step3: Simplify the constant terms

$y = 3x - 1$

Step4: Replace $y$ with $f(x)$

$f(x) = 3x - 1$

Answer:

$f(x) = 3x - 1$