### Instruction: For $y=\frac{x+2}{5x-7}$, at what $x$-value is there a vertical asymptote?### Response: A vertical asymptote occurs when the denominator of a fraction is 0.
So we need to find the value of x that makes the denominator 0.
That's correct. So we just solve for $5x-7=0$.
If we add 7 to both sides, we get $5x=7$.
And if we divide both sides by 5, we get $x=\frac{7}{5}$.
So the vertical asymptote is at $x=\frac{7}{5}$?