Question

consider the function $y = \frac{4}{x - 2}$. 8b state the equation of the vertical asymptote. \\(x = 2\\) 5 you got it! 8c rearrange $y = \frac{4}{x - 2}$ to make $x$ the subject. enter your next step here

Explanation:

Step1: Multiply both sides by $x-2$

$y(x-2) = 4$

Step2: Expand left-hand side

$yx - 2y = 4$

Step3: Isolate term with $x$

$yx = 4 + 2y$

Step4: Divide by $y$ to solve for $x$

$x = \frac{4 + 2y}{y} = \frac{4}{y} + 2$

Answer:

$x = \frac{4}{y} + 2$