which linear function represents the line given by the point - slope equation y - 2 = 4(x - 3)?\n○ f(x)=6x…

which linear function represents the line given by the point - slope equation y - 2 = 4(x - 3)?\n○ f(x)=6x - 1\n○ f(x)=8x - 6\n○ f(x)=4x - 14\n○ f(x)=4x - 10

which linear function represents the line given by the point - slope equation y - 2 = 4(x - 3)?\n○ f(x)=6x - 1\n○ f(x)=8x - 6\n○ f(x)=4x - 14\n○ f(x)=4x - 10

Answer

Explanation:

Step1: Expand the point - slope equation

Expand $y - 2=4(x - 3)$ using the distributive property. $y-2 = 4x-12$.

Step2: Solve for y

Add 2 to both sides of the equation. $y=4x - 12+2$, so $y = 4x-10$. Since $y = f(x)$, then $f(x)=4x - 10$.

Answer:

D. $f(x)=4x - 10$