Question

Which statements are true? Select three options O The line x = O is perpendicular to the line y = -3 O All lines that are parallel to the y-axis are vertical lines. O All lines that are perpendicular to the x-axis have a slope of O. O The equation of the line parallel to the x-axis that passes through the point (2, -6) is x = 2. O The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1

Answer 1

The statements which are true among the answer choices are;

• The line x = O is perpendicular to the line y = -3.
• All lines that are parallel to the y-axis are vertical lines.

Which statements among the answer choices are true?

In the concept of straight line graphs (linear graphs) the statements are evaluated as follows;

• The line x = O is perpendicular to the line y = -3. - This is true because the former is a vertical line while the latter is horizontal.

• All lines that are parallel to the y-axis are vertical lines. - True, because the y-axis itself is a vertical line.

• All lines that are perpendicular to the x-axis have a slope of O. - False, because all lines perpendicular to the X axis are vertical lines and have do not have slope 0.

• The equation of the line parallel to the x-axis that passes through the point (2, -6) is x = 2. - False, because a line parallel to the x-axis is defined by y.

• The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1. - True.

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