choose a linear function for the line represented by the point - slope equation y - 5 = 3(x - 2).\n○ f(x)=3x…

choose a linear function for the line represented by the point - slope equation y - 5 = 3(x - 2).\n○ f(x)=3x + 1\n○ f(x)=3x - 1\n○ f(x)=8x + 10\n○ f(x)=8x - 10

choose a linear function for the line represented by the point - slope equation y - 5 = 3(x - 2).\n○ f(x)=3x + 1\n○ f(x)=3x - 1\n○ f(x)=8x + 10\n○ f(x)=8x - 10

Answer

Explanation:

Step1: Expand the point - slope equation

$y - 5=3(x - 2)$ expands to $y-5 = 3x-6$.

Step2: Solve for y

Add 5 to both sides of the equation: $y=3x - 6+5$, so $y = 3x-1$. Since $y = f(x)$ for a linear function, $f(x)=3x - 1$.

Answer:

$f(x)=3x - 1$