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HELP PLEASE.

the line N is drawn below.
Find the equation of the line perpendicular to line N that passes through the point (0,1).

asked
User Ashbay
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1 Answer

2 votes
Without knowing the equation of line N, we can still find the equation of the line perpendicular to it that passes through point (0,1).

First, we know that the slope of the line perpendicular to N is the negative reciprocal of the slope of N. So, if the slope of N is m, then the slope of the line perpendicular to N is -1/m.

Next, we can use the point-slope form of the equation of a line to find the equation of the line perpendicular to N that passes through point (0,1). The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

Substituting in the values we have:

y - 1 = (-1/m)(x - 0)

Simplifying:

y = (-1/m)x + 1

This is the equation of the line perpendicular to N that passes through point (0,1).
answered
User MuTaTeD
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