Question

Write equations of the horizontal and vertical lines that pass through the given

point.
12. (-3,-4)
Horizontal line
vertical line

Answer 1

Horizontal line ⇒ y = -4

Vertical line ⇒ x = -3

Explanation:

• The line is horizontal if the y-coordinates of all points lie on it have the same value

• The equation of the horizontal line that passes through the point (a, b) is y = b

• The line is vertical if the x-coordinates of all points lie on it have the same value

• The equation of the vertical line that passes through the point (a, b) is x = a

∵ A horizontal line passes through the point (-3, -4)

→ That means the y-coordinates of all points on the line have

the same value

∴ The equation of the line is y = -4

∵ A vertical line passes through the point (-3, -4)

→ That means the x-coordinates of all points on the line have

the same value

∴ The equation of the line is x = -3