The question is the following:
The equation $3x+5y+7z=15$ can be rewritten as $z = \frac{15}{7} - \frac{3}{7}x-\frac{5}{7}y$. What are the meanings of the three fractions that appear in this equation?
I know that $\frac{15}{7}$ is the intersection of the plane on the $z$-axis. However, is $-\frac{3}{7}$ the slope on the $x$-axis and $-\frac{5}{7}$ on the $y$-axis? Any help will be appreciated.