Question

understanding of the coordinate plane
name
1 write ordered pairs for the 5 points on the coordinate plane.
point a
point b
point c
point d
point e
plot the following points on the same coordinate plane.
label each point with its letter name.
point ( p (3, 5) )
point ( q (5, 3) )
point ( r (0, 7) )
point ( s (3, 1) )
point ( t (7, 8) )
describe the location of point ( p ) compared to point ( q ) in the coordinate plane.

Explanation:

Part 1: Writing Ordered Pairs for Points A, B, C, D, E

Step 1: Recall the structure of an ordered pair

An ordered pair is written as \((x, y)\), where \(x\) is the horizontal (x - axis) coordinate and \(y\) is the vertical (y - axis) coordinate. To find the coordinates of a point, we first look at the value on the x - axis (how many units to the right or left of the origin \((0,0)\)) and then the value on the y - axis (how many units up or down from the origin).

Step 2: Find coordinates for Point A

Looking at the graph, Point A is 2 units to the right on the x - axis (\(x = 2\)) and 8 units up on the y - axis (\(y=8\)). So, the ordered pair for Point A is \((2,8)\).

Step 3: Find coordinates for Point B

Point B is 1 unit to the right on the x - axis (\(x = 1\)) and 3 units up on the y - axis (\(y = 3\)). So, the ordered pair for Point B is \((1,3)\).

Step 4: Find coordinates for Point C

Point C is 6 units to the right on the x - axis (\(x=6\)) and 6 units up on the y - axis (\(y = 6\)). So, the ordered pair for Point C is \((6,6)\).

Step 5: Find coordinates for Point D

Point D is 4 units to the right on the x - axis (\(x = 4\)) and 0 units up on the y - axis (\(y=0\)). So, the ordered pair for Point D is \((4,0)\).

Step 6: Find coordinates for Point E

Point E is 8 units to the right on the x - axis (\(x = 8\)) and 2 units up on the y - axis (\(y = 2\)). So, the ordered pair for Point E is \((8,2)\).

Part 2: Describing the Location of Point P compared to Point Q

Step 1: Recall the coordinates of Point P and Point Q

Point P has coordinates \((3,5)\) and Point Q has coordinates \((5,3)\).

Step 2: Compare the x - coordinates

The x - coordinate of Point P is \(x_P=3\) and the x - coordinate of Point Q is \(x_Q = 5\). Since \(3<5\), Point P is to the left of Point Q.

Step 3: Compare the y - coordinates

The y - coordinate of Point P is \(y_P = 5\) and the y - coordinate of Point Q is \(y_Q=3\). Since \(5 > 3\), Point P is above Point Q.

So, Point P is to the left and above Point Q (or we can say Point P is northwest of Point Q relative to Point Q's position).

Answer:

s:

• Point A: \(\boldsymbol{(2,8)}\)
• Point B: \(\boldsymbol{(1,3)}\)
• Point C: \(\boldsymbol{(6,6)}\)
• Point D: \(\boldsymbol{(4,0)}\)
• Point E: \(\boldsymbol{(8,2)}\)
• Location of Point P relative to Point Q: Point P \((3,5)\) is to the left (since \(3<5\)) and above (since \(5 > 3\)) of Point Q \((5,3)\).