The slope-intercept form of a line is given by the equation:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
In this case, the slope \( m \) is 2 and the y-intercept \( b \) is -5. Substituting these values into the equation:
\[ y = 2x - 5 \]
Thus, the slope-intercept form of the equation for the line is:
\[ y = 2x - 5 \]