We're given the equation:
[tex]y-60=-5(x-5)[/tex]In order to get to the slope-intercept form we have to clear y :
[tex]\begin{gathered} y-60=-5(x-5) \\ \rightarrow y-60=-5x+25 \\ \rightarrow y=-5x+85 \end{gathered}[/tex]Therefore, the equation in the slope-intercept form is:
[tex]y=-5x+85[/tex]