Question

current learning objective: identifying vertical asymptotes of rational functions
question 12 practice similar questions
score: 0 of 1 point
the graph of ( y=\frac{2 x - 3}{-5 x + 7} ) has a vertical asymptote with equation
note: enter the equation of the vertical asymptote.
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Explanation:

Step1: Set the denominator equal to zero

For a rational function \(y=\frac{f(x)}{g(x)}\), vertical asymptotes occur where \(g(x) = 0\). Here, \(g(x)=- 5x + 7\), so we set \(-5x+7 = 0\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(x = \frac{7}{5}\)