The standard form:
[tex]Ax+By=C[/tex]
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = 3 and the point (5, 5). Substitute:
[tex]y-5=3(x-5)[/tex] use distributive property
[tex]y-5=3x-15[/tex] add 5 to both sides
[tex]y=3x-10[/tex] subtract 3x from both sides
[tex]-3x+y=-10[/tex] change the signs
[tex]\boxed{3x-y=10}[/tex]
