Which of these is a point-slope equation of the line that is perpendicular to y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C. y-7- -x+3)
D. y+7 = 2(x- 3)

Given:

Equation of line is .

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

         ...(i)

where, is the point from which the line is passing through and m is slope.

We have,

      ...(ii)

From (i) and (ii), we get

Product of slopes of two perpendicular lines is -1.

So, slope of perpendicular line is .

Point slope form of the perpendicular line is

Therefore, the correct option is C.

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step-by-step explanation: