Question

y - 3 = \frac{0}{0}(x + 8)

Explanation:

Step1: Analyze the equation structure

The given equation is \( y - 3=\frac{0}{0}(x + 8) \). But division by zero (\(\frac{0}{0}\)) is undefined in mathematics. However, if we consider the limit or the intention might be a horizontal line (since the slope would be 0/0 which is indeterminate, but maybe a typo where the slope is 0). If we assume the slope is 0 (maybe a writing error, and the fraction was meant to be 0/1 or just 0), then:

Step2: Simplify the equation

If the slope \( m = 0 \), then the equation \( y - y_1=m(x - x_1) \) (point - slope form) becomes \( y-3 = 0\times(x + 8) \).

Step3: Solve for y

Simplify the right - hand side: \( 0\times(x + 8)=0 \). Then add 3 to both sides of the equation \( y-3=0 \), we get \( y=3 \).

Answer:

The equation (after correcting the undefined \(\frac{0}{0}\) to a slope of 0, assuming a typo) represents the horizontal line \( y = 3 \). If we strictly consider \(\frac{0}{0}\), the original expression is undefined, but if we interpret it as a horizontal line (slope 0) equation, the solution for \( y \) is \( y = 3 \).