Question

warm-up
points a and b are on the line.
what are the coordinates of each point?
table with columns: point, x, y; rows: a, b
graph with points a, b, right triangles (small: base 4, height 3; large: base 8, height 6) on a coordinate plane

Explanation:

Step1: Determine coordinates of Point A

From the diagram, the horizontal (x) distance from the origin - like intersection to Point A is 4, and vertical (y) distance is 3. So coordinates of A are (4, 3).

Step2: Determine coordinates of Point B

The horizontal distance from the origin - like intersection to Point B: from A's x - coordinate (4) plus 8 (the horizontal segment length), so \( 4 + 8=12 \). The vertical distance: from A's y - coordinate (3) plus 6 (the vertical segment length), so \( 3+6 = 9 \). So coordinates of B are (12, 9).

Answer:

For Point A: \( x = 4 \), \( y=3 \)
For Point B: \( x = 12 \), \( y = 9 \)

Filling the table:

Point	\( x \)	\( y \)
B	12	9