Question

Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2).

Answer 1

The line y = -8 is horizontal

The line perpendicular to the line y = -8 is vertical

The equation of the line perpendicular to the line y = -8 through

the point (-4 , -2) is x = -4

Step-by-step explanation:

Let us revise some notes about the vertical and horizontal lines

• The equation of a horizontal line passes through point (a , b) is y = b, because the y-coordinates of all points on the line are equal
• The equation of a vertical line passes through point (a , b) is x = a, because the x-coordinates of all points on the line are equal
• The horizontal line and the vertical line are perpendicular to each other

We need to find the equation of the line perpendicular to the line y = -8 through the point (-4 , -2)

∵ The equation of the given line is y = -8

∴ The given line is a horizontal line

The line y = -8 is horizontal

∵ The line y = -8 is a horizontal

∴ The line perpendicular to it must be vertical

The line perpendicular to the line y = -8 is vertical

∵ The equation of a vertical line is x = a, where a is the x-coordinate

   of a point lies on the line

∵ The line perpendicular to the line y = -8 through the point (-4 , -2)

∴ a = -4

∴ The equation of the perpendicular line is x = -4

The equation of the line perpendicular to the line y = -8 through

the point (-4 , -2) is x = -4

Learn more:

You can learn more about the equation of a line in brainly.com/question/1284310

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