Answer:
[tex]y=3x+8[/tex]
Step-by-step explanation:
Slope-intercept form is as follows:
[tex]y=mx+b[/tex]
In this equation, "m" represents your slope and "b" represents your y-intercept.
To convert your equation into slope-intercept form, distribute your 3 across your parentheses and then add 5 to both sides to isolate for y.
[tex]y-5=3(x+1)\\y-5=3x+3\\y=3x+8[/tex]