ANSWER
A.
[tex]y - 10 = - \frac{1}{6} (x - 2)[/tex]
EXPLANATION
The given line is
[tex]y = 6x - 5[/tex]
The slope of this line is
[tex]6[/tex]
The slope of the line perpendicular to it is
[tex] - \frac{1}{6} [/tex]
The reason is that, the two slopes are negative reciprocal of each other.
The given line passes through,
[tex](2,10)[/tex]
We use the formula,
[tex]y - y_1 = m (x - x_1)[/tex]
where m is the slope.
We substitute the values to get the equation of the required line to be
[tex]y - 10 = - \frac{1}{6} (x - 2)[/tex]
The correct answer is A.
