Question

Write an equation for the vertical line and horizontal line using a calculator.

A) Vertical line: x = a, Horizontal line: y = b
B) Vertical line: y = b, Horizontal line: x = a
C) Vertical line: x = b, Horizontal line: y = a
D) Vertical line: y = a, Horizontal line: x = b

Answer 1

The equation for a vertical line is x = a and for a horizontal line is y = b. These equations specify that all points on the vertical line share the same x-coordinate and all points on the horizontal line share the same y-coordinate.

Step-by-step explanation:

The correct equations for a vertical line and a horizontal line are:

• Vertical line: x = a
• Horizontal line: y = b

In a Cartesian coordinate system, a vertical line is one where all points on the line have the same x-coordinate. Therefore, the equation for a vertical line is x = a, where 'a' is the x-coordinate of all points on the line. Similarly, a horizontal line is one where all points have the same y-coordinate, so the equation for a horizontal line is y = b, where 'b' is the constant y-coordinate for any point on the line. Thus, the correct answer is option A: Vertical line: x = a, Horizontal line: y = b.