When we know the slope and the y-intercept, we can write the equation in slope-intercept form:
[tex]y=mx+b[/tex]where m: slope and b: y-intercept.
Then, in this case that m = 5 and b = -15, the equation of the line is:
[tex]\begin{gathered} y=5x+(-15) \\ y=5x-15 \end{gathered}[/tex]Answer: y = 5x - 15