Question

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

A y-10= -1/6(x-2)
b. x-10= 6(y -2)
c. y-2= -1/6(x-10)
d. y-10= 6(x-2)

Answer 1

ANSWER

A.


`y - 10 = - (1)/(6) (x - 2)`

Step-by-step explanation

The given line is


`y = 6x - 5`

The slope of this line is

`6`

The slope of the line perpendicular to it is


`- (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 = - (1)/(6) (x - 2)`

The correct answer is A.