Question

in 13 - 20, graph and label each point. 13. a(1, - 1) 14. b(4, 3) 15. c(-4, 3) 16. d(5, - 2) 17. e(-2.5, 1.5) 18. f(2, 1.5) 19. g(-2, -1\frac{1}{2}) 20. h(1\frac{1}{2}, - 1) in 21 - 26, write the ordered pair for each point. 21. p 22. q 23. r 24. s 25. t 26. u in 27 - 30, use the map at the right. 27. which building is located in quadrant iii? 28. which two places have the same x - coordinate?

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate plane, an ordered pair \((x,y)\) represents a point. The \(x\) - coordinate is the horizontal displacement and the \(y\) - coordinate is the vertical displacement from the origin \((0,0)\).

Step2: Graph point A(1, - 1)

Start at the origin. Move 1 unit to the right along the \(x\) - axis (because \(x = 1\)) and 1 unit down along the \(y\) - axis (because \(y=-1\)) and label the point A.

Step3: Graph point B(4, 3)

Start at the origin. Move 4 units to the right along the \(x\) - axis (since \(x = 4\)) and 3 units up along the \(y\) - axis (since \(y = 3\)) and label the point B.

Step4: Graph point C(-4, 3)

Start at the origin. Move 4 units to the left along the \(x\) - axis (because \(x=-4\)) and 3 units up along the \(y\) - axis (because \(y = 3\)) and label the point C.

Step5: Graph point D(5, - 2)

Start at the origin. Move 5 units to the right along the \(x\) - axis (since \(x = 5\)) and 2 units down along the \(y\) - axis (since \(y=-2\)) and label the point D.

Step6: Graph point E(-2.5, 1.5)

Start at the origin. Move 2.5 units to the left along the \(x\) - axis (because \(x=-2.5\)) and 1.5 units up along the \(y\) - axis (because \(y = 1.5\)) and label the point E.

Step7: Graph point F(2, 1.5)

Start at the origin. Move 2 units to the right along the \(x\) - axis (since \(x = 2\)) and 1.5 units up along the \(y\) - axis (since \(y = 1.5\)) and label the point F.

Step8: Graph point G(-2,-1.5)

Start at the origin. Move 2 units to the left along the \(x\) - axis (because \(x=-2\)) and 1.5 units down along the \(y\) - axis (because \(y=-1.5\)) and label the point G.

Step9: Graph point H(1.5, - 1)

Start at the origin. Move 1.5 units to the right along the \(x\) - axis (since \(x = 1.5\)) and 1 unit down along the \(y\) - axis (since \(y=-1\)) and label the point H.

Since the problem for 21 - 26 and 27 - 30 is incomplete (no graph provided for writing ordered pairs in 21 - 26 and no map provided for 27 - 30), we can only answer the graph - and - label part for 13 - 20. The actual graphing should be done on a graph paper with \(x\) and \(y\) axes marked with appropriate scales.

Answer:

Points A(1, - 1), B(4, 3), C(-4, 3), D(5, - 2), E(-2.5, 1.5), F(2, 1.5), G(-2,-1.5), H(1.5, - 1) are graphed as described above on a two - dimensional coordinate plane.