Question

a) write the point that is located at each ordered pair.

1. (4,1)
2. (3,-5)
3. (-5,1)
4. (5,5)
5. (1,-4)
6. (-1,-5)
7. (-3,-3)
8. (-5,-2)
9. (-2,1)
10. (1,2)

Explanation:

Step1: Understand the coordinate system

In a coordinate system, an ordered pair \((x,y)\) represents a point. The \(x\)-value (abscissa) tells the horizontal position (right for positive, left for negative) and the \(y\)-value (ordinate) tells the vertical position (up for positive, down for negative).

Step2: Locate each point

1. For \((4,1)\): Move 4 units to the right on the \(x\)-axis and 1 unit up on the \(y\)-axis. This is point \(U\).
2. For \((3, - 5)\): Move 3 units to the right on the \(x\)-axis and 5 units down on the \(y\)-axis. This is point \(S\).
3. For \((-5,1)\): Move 5 units to the left on the \(x\)-axis and 1 unit up on the \(y\)-axis. This is point \(Q\).
4. For \((5,5)\): Move 5 units to the right on the \(x\)-axis and 5 units up on the \(y\)-axis. This is point \(Y\).
5. For \((1,-4)\): Move 1 unit to the right on the \(x\)-axis and 4 units down on the \(y\)-axis. This is point \(A\).
6. For \((-1,-5)\): Move 1 unit to the left on the \(x\)-axis and 5 units down on the \(y\)-axis. This is point \(D\).
7. For \((-3,-3)\): Move 3 units to the left on the \(x\)-axis and 3 units down on the \(y\)-axis. This is point \(F\).
8. For \((-5,-2)\): Move 5 units to the left on the \(x\)-axis and 2 units down on the \(y\)-axis. This is point \(G\).
9. For \((-2,1)\): Move 2 units to the left on the \(x\)-axis and 1 unit up on the \(y\)-axis. This is point \(E\).
10. For \((1,2)\): Move 1 unit to the right on the \(x\)-axis and 2 units up on the \(y\)-axis. This is point \(R\).

Answer:

1. \(U\)
2. \(S\)
3. \(Q\)
4. \(Y\)
5. \(A\)
6. \(D\)
7. \(F\)
8. \(G\)
9. \(E\)
10. \(R\)