Question

NO LINKS!! Describe the set of points P(x, y) in a coordinate plane that satisfy the given condition 3o​

Answer 1

(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).

Explanation:

Part (a)

Given condition: y = -8

Equation of a horizontal line:

• 
  `y = a`

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:

• 
  `x=a`

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).