Question

label the parts of the graph.
y - intercept
x - intercept
origin
x - axis
y - axis

Explanation:

1. The horizontal line is the \( x \)-axis, so the label pointing to the horizontal line (with the gray dot on it, left side) is "x - axis".
2. The vertical line is the \( y \)-axis, so the label pointing to the vertical line (top gray dot) is "y - axis".
3. The point where \( x = 0 \) and \( y = 0 \) is the origin, so the label pointing to the intersection of the axes (middle gray dot) is "origin".
4. The point where the line crosses the \( x \)-axis (red dot on the horizontal line) is the \( x \)-intercept.
5. The point where the line crosses the \( y \)-axis (red dot on the vertical line, bottom) is the \( y \)-intercept.

Let's match each label:

• The top green box (pointing to the vertical line, top dot) → \( y \)-axis
• The left green box (pointing to the horizontal line, left gray dot) → \( x \)-axis
• The middle green box (pointing to the intersection of axes, middle gray dot) → origin
• The right green box (pointing to the red dot on the horizontal line) → \( x \)-intercept
• The bottom green box (pointing to the red dot on the vertical line, bottom) → \( y \)-intercept

Answer:

• Top green box: \( y \)-axis
• Left green box: \( x \)-axis
• Middle green box: origin
• Right green box: \( x \)-intercept
• Bottom green box: \( y \)-intercept