The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = 3 and the point (-1, 5). Substitute:
[tex]y-5=3(x-(-1))[/tex]
[tex]\boxed{y-5=3(x+1)}[/tex] use distributive property
[tex]y-5=3x+3[/tex] add 5 to both sides
[tex]\boxed{y=3x+8}[/tex] - slope-intercept form
