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Which of the following is NOT true about the following equation? y=−3
A) It is the equation of a horizontal line.
B) Its slope is zero.
C) It is perpendicular to the equation y=13x+2.
D) The line does not cross the x-axis.

Respuesta :

Ashraf82

Answer:

The statement which is NOT true about the equation y = -3 is

It is perpendicular to the equation y = 1/3x + 2 ⇒ C

Step-by-step explanation:

Let us revise the facts of the horizontal line:

  • The line is horizontal if all points on it have the same y-coordinates
  • The horizontal line is parallel to the x-axis
  • The slope of the horizontal line is zero
  • The equation of the horizontal line is y = b, where b is the y-coordinate of all points on the line
  • The y-intercept of the horizontal line is (0, b)

∵ The equation of the line is y = -3

→ Which means the value of y = -3 at any value of x

∴ The line is horizontal

∴ Its slope = 0

∵ The horizontal line is parallel to the x-axis

∴ The line does not intersect the x-axis

∴ The true statements are:

  • It is the equation of a horizontal line
  • Its slope is zero
  • The line does not cross the x-axis

The statement which is NOT true about the equation y = -3 is

It is perpendicular to the equation y = 1/3x + 2

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