ANSWER
The standard form is:
[tex]x - 2y = - 16[/tex]
EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is
[tex]m = \frac{11 - 10}{6 - 4} [/tex]
[tex]m = \frac{1}{2} [/tex]
The equation is given by the formula,
[tex]y-y_1=m(x-x_1)[/tex]
We plug in the first point and the slope to get.
[tex]y-10= \frac{1}{2} (x-4)[/tex]
[tex]2y - 20 = x - 4[/tex]
[tex]x - 2y = - 20 + 4[/tex]
[tex]x - 2y = - 16[/tex]
The standard form is
[tex]x - 2y = - 16[/tex]
