the slope is 2 and the line passes through point (6,13)

Answer:
[tex]y-13 = 2 (x-6)[/tex]
or
y = 2x+1
Step-by-step explanation:
To write the equation of a line, use the formula [tex]y - y_1 = m(x-x_1)[/tex]. This is called the point slope form. Here the slope m = 2 and the point is (6,13).
[tex]y-13 = 2(x-6)[/tex]
You can simplify it into y = mx+b form.
[tex]y-13 = 2(x-6)\\y-13 = 2x -12\\y= 2x +1[/tex]