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

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 right side

$$y - 2=4(x - 3)=4x-12$$

Step2: Solve for (y)

Add (2) to both sides: $$y=4x-12 + 2$$ $$y=4x-10$$ Since (y = f(x)), the linear function is (f(x)=4x - 10)

Answer:

(f(x)=4x - 10) (the fourth option)