Question

Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)

Answer 1

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Step-by-step explanation:

Let us revise the equations of the vertical lines and horizontal lines

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

∵ The line is perpendicular to the x-axis

∴ The line is a vertical line

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

   of any point lies on the line

∵ The line contains point (-11.4 , 12.8)

∵ The x-coordinate of the point is -11.4

∴ a = -11.4

∴ The equation of the line is x = -11.4

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Learn more:

You can learn more about the linear equation in brainly.com/question/13168205

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