[tex]General\ equation\ for\ line\ in\ slope\ intercept\ form:
\\\\y=ax+b\\
a-slope\\
b-intercept\\\\
a=3\\
y=3x+b\\
Substitude\ point\ (5,5)\\\\5 =5*3+b\\ 5=15+b\ \ \ |Subtract\ 15 \\ -10=b\\\\
Formula\ for\ slope\ intercept\ form\ is\\ y=3x-10 [/tex]