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What is the equation of the line that is perpendicular to the given line and passes through the point (2, 6)?


x = 2

x = 6

y = 2

y = 6

What is the equation of the line that is perpendicular to the given line and passes through the point 2 6 x 2 x 6 y 2 y 6 class=

Respuesta :

sqdancefan

Answer:

  x = 2

Step-by-step explanation:

The given line is a horizontal line, so the perpendicular line will be something of the form x=constant, a vertical line.

In order for that line to go through a point with x-coordinate 2, the value of the constant must be 2:

  x = 2

abidemiokin

The equation of the line that is perpendicular to the given line and passes through the point (2, 6) is y = 6: Option D is correct.

The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

  • Since the given line is a horizontal line, the slope of the line is infinity

  • The slope of the line perpendicular will be expressed as -1/∞ = 0

Get the required equation:

Recall that y - y0 = m(x-x0)

y - 6 = 0(x-2)

y - 6 = 0

y = 6

Hence the equation of the line that is perpendicular to the given line and passes through the point (2, 6) is y = 6

Learn more here: https://brainly.com/question/17003809

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