The standard form for the equation of a line is:
[tex]y=mx+b[/tex]In which m represents the slope of the line and b represents the y-intercept
Since the slope of the line is already given, we can use the point given to find the y-intercept.
[tex]y=2x+b[/tex]Using the point (8,19) as (x,y) we replace x and y in the equation
[tex]19=2\cdot(8)+b[/tex]Simplify both sides of the equation
[tex]19=16+b[/tex]solve the equation for b, when substracting 16 on both sides of the equation
[tex]\begin{gathered} 19-16=16+b-16 \\ 3=b \end{gathered}[/tex]the equation of the line is
[tex]y=2x+3[/tex]