Question

write the coordinates of each ordered pair shown on the graph.
$a(x,y)=a(10,3)$
$b(x,y)=b(30,12)$
$c(x,y)=c(-35,10)$
$d(x,y)=d(20,-6)$
$e(x,y)=e(0,-20)$

Explanation:

Step1: Determine the x - coordinate of point A

The x - coordinate is the horizontal distance from the origin. For point A, moving 10 units to the right of the origin on the x - axis.

Step2: Determine the y - coordinate of point A

The y - coordinate is the vertical distance from the origin. For point A, moving 2 units up from the x - axis. So, \(A=(10,2)\)

Step3: Determine the x - coordinate of point B

For point B, moving 25 units to the right of the origin on the x - axis.

Step4: Determine the y - coordinate of point B

For point B, moving 14 units up from the x - axis. So, \(B=(25,14)\)

Step5: Determine the x - coordinate of point D

For point D, moving 15 units to the right of the origin on the x - axis.

Step6: Determine the y - coordinate of point D

For point D, moving 6 units down from the x - axis. So, \(D=(15, - 6)\)

Step7: Determine the x - coordinate of point E

For point E, moving 20 units to the left of the origin on the x - axis.

Step8: Determine the y - coordinate of point E

For point E, moving 0 units up/down from the x - axis. So, \(E=(-20,0)\)

Answer:

\(A=(10,2)\)
\(B=(25,14)\)
\(D=(15, - 6)\)
\(E=(-20,0)\)