The equation of a line in slope-intercept form is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
Given \( m = -5 \) and \( b = -7 \), you can substitute these values into the equation:
\[ y = -5x - 7 \]
So the correct equation of the line is:
\( y = -5x - 7 \)