Respuesta :

semsee45

Answer:

(a)  The line parallel to the x-axis that intersects the y-axis at (0, -8).

(b)  The line parallel to the y-axis that intersects the x-axis at (-8, 0).

Step-by-step explanation:

Part (a)

Given condition: y = -8

Equation of a horizontal line:

  • [tex]y = a[/tex]  

As this is a horizontal line, it is parallel to the x-axis.

A horizontal line intersects the y-axis at (0, a).

Therefore, the description that satisfies the given condition is:

  • The line parallel to the x-axis that intersects the y-axis at (0, -8).

Part (b)

Given condition: x = -8

Equation of a vertical line:

  • [tex]x=a[/tex]  

As this is a vertical line, it is parallel to the y-axis.

A vertical line intersects the x-axis at (a, 0).

Therefore, the description that satisfies the given condition is:

  • The line parallel to the y-axis that intersects the x-axis at (-8, 0).