The equation of a line in its slope-intercept form is
[tex]\begin{gathered} y=mx+b \\ \text{ Where m is the slope and} \\ \text{b is the y-intercept} \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} m=-2 \\ b=5 \\ y=mx+b \\ y=-2x+5 \end{gathered}[/tex]Therefore, the equation of this line in its slope-intercept form is
[tex]y=-2x+5[/tex]
