Identify an equation in point-slope form for the line perpendicular to y=1/4x-7 that passes through (-2,-6).
A. y+6= -4(x+2)
B. y+6= -1/4(x+2)
C. y+2 = -4(x+ 6)
D. y-6=1/4(x-2)

Given:

Equation of line is .

The perpendicular line passes through (-2,-6).

To find:

The point slope form of perpendicular line.

Solution:

We have,

On comparing this equation with , we get

Slope of given line is .

Product of slopes of two perpendicular of the lines is -1.

So,

Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is

where, m is slope.

Therefore, the correct option is A.

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step-by-step explanation: