Question

Write an equation for the line perpendicular to y = 6x - 5 that contains (2, 10).

Answer 1

ANSWER

A.

$y - 10 = - \frac{1}{6} (x - 2)$

EXPLANATION

The given line is

$y = 6x - 5$

The slope of this line is
$6$

The slope of the line perpendicular to it is

$- \frac{1}{6}$

The reason is that, the two slopes are negative reciprocal of each other.

The given line passes through,

$(2,10)$


We use the formula,

$y - y_1 = m (x - x_1)$

where m is the slope.

We substitute the values to get the equation of the required line to be

$y - 10 = - \frac{1}{6} (x - 2)$

The correct answer is A.