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Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4. (2 points)

2 Answers

4 votes

Answer:

y=5

Explanation:

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User ESL
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6.5k points
1 vote
Perpendicular lines have opposite reciprocal slopes.

x = 4 has a slope of undefined since it is a vertical line.

It's undefined because 1/0 = undefined. We can't divide by 0.

The opposite reciprical of 1/0 is -0/1, which equals to 0.

Any line with a slope of 0 is:

y = 0x + b
y = b

This line goes through the point of (3, 5).

Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).

5 is in the y-value.

The equation of the perpendicular line is y = 5.
User Gaucho
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6.5k points