Pre-Algebra Examples

$\frac{7}{x + 9} = \frac{6}{y - 6}$

Step 1

Find where the expression $\frac{6}{y - 6}$ is undefined.

$y = 6$

Step 2

$\frac{7}{x + 9} = \frac{6}{y - 6}$ is an equation of a line, which means there are no horizontal asymptotes.

No Horizontal Asymptotes

Step 3

Since there is no remainder from the polynomial division, there are no oblique asymptotes.

No Oblique Asymptotes

Step 4

This is the set of all asymptotes.

Vertical Asymptotes: $y = 6$

No Horizontal Asymptotes

No Oblique Asymptotes

Step 5