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

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

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: link

  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

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction