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:
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:
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).
