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What is the equation, in point-slope form, of the line

that is perpendicular to the given line and passes
through the point (2, 5)?
A) y + 5 = x + 2
B) y - 2 = x - 5
C) y-5= -(x - 2)
D) y + 2 = -(x + 5)

1 Answer

3 votes

Final answer:

Sorry, without the equation of the given line, we cannot determine the equation of the line perpendicular to it.

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a given point, we need to determine the slope of the given line and then find the negative reciprocal of that slope. The negative reciprocal of a slope is the slope of a line that is perpendicular to the given line. Once we have the slope for the new line, we can use the point-slope form of a linear equation to write the equation of the line.

Let's start by finding the slope of the given line. Given line: y = mx + b, where m is the slope. Since we are not provided with the equation of the given line, we cannot determine its slope. Therefore, we cannot find the equation of the line perpendicular to it either.

Sorry, without the equation of the given line, we cannot determine the equation of the line perpendicular to it.

User Norteo
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