Question

name
graphing on the coordinate plane
a) graph the given points on the coordinate plane.
a) b(-4, 2) b) e(8, 5)
c) g(-5, 5) d) l(8, -4)
e) q(3, -1) f) x(-2, 5)
g) s(4, -6) h) d(2, -2)
i) a(-7, -5) j) m(6, 0)
b) determine the coordinate of each letter in the grid.
m =
d =
q =
a =
w =
n =
s =
p =
t =
r =
z =
x =

Explanation:

Step1: Recall Coordinate Graphing

To graph a point \((x, y)\) on the coordinate plane, we move \(x\) units along the x - axis (left if \(x\) is negative, right if \(x\) is positive) and \(y\) units along the y - axis (down if \(y\) is negative, up if \(y\) is positive). For example, for point \(B(-4,2)\):

• Move 4 units to the left along the x - axis (since \(x=-4\)) and 2 units up along the y - axis (since \(y = 2\)) and mark the point.

Step2: Graph Each Point

a) \(B(-4,2)\)

• \(x=-4\) (move 4 units left from the origin on the x - axis), \(y = 2\) (move 2 units up from the origin on the y - axis). Mark the point.

b) \(E(8,5)\)

• \(x = 8\) (move 8 units right on the x - axis), \(y=5\) (move 5 units up on the y - axis). Mark the point.

c) \(G(-5,5)\)

• \(x=-5\) (move 5 units left on the x - axis), \(y = 5\) (move 5 units up on the y - axis). Mark the point.

d) \(L(8,-4)\)

• \(x = 8\) (move 8 units right on the x - axis), \(y=-4\) (move 4 units down on the y - axis). Mark the point.

e) \(Q(3,-1)\)

• \(x = 3\) (move 3 units right on the x - axis), \(y=-1\) (move 1 unit down on the y - axis). Mark the point.

f) \(X(-2,5)\)

• \(x=-2\) (move 2 units left on the x - axis), \(y = 5\) (move 5 units up on the y - axis). Mark the point.

g) \(S(4,-6)\)

• \(x = 4\) (move 4 units right on the x - axis), \(y=-6\) (move 6 units down on the y - axis). Mark the point.

h) \(D(2,-2)\)

• \(x = 2\) (move 2 units right on the x - axis), \(y=-2\) (move 2 units down on the y - axis). Mark the point.

i) \(A(-7,-5)\)

• \(x=-7\) (move 7 units left on the x - axis), \(y=-5\) (move 5 units down on the y - axis). Mark the point.

j) \(M(6,0)\)

• \(x = 6\) (move 6 units right on the x - axis), \(y = 0\) (lie on the x - axis). Mark the point.

For part B (determining coordinates):

Step1: Recall Coordinate Reading

To find the coordinate of a point \((x,y)\) on the coordinate plane, we find the x - value (horizontal distance from the origin, negative if left, positive if right) and y - value (vertical distance from the origin, negative if down, positive if up).

For \(M\)

• From the graph, \(M\) is 5 units right on the x - axis and 5 units up on the y - axis. So \(M=(5,5)\)

For \(D\)

• \(D\) is 1 unit right on the x - axis and 1 unit up on the y - axis. So \(D=(1,1)\)

For \(Q\)

• \(Q\) is - 3 units (3 units left) on the x - axis and - 3 units (3 units down) on the y - axis. So \(Q=(-3,-3)\)

For \(A\)

• \(A\) is - 5 units (5 units left) on the x - axis and 6 units up on the y - axis. So \(A=(-5,6)\)

For \(W\)

• \(W\) is 3 units right on the x - axis and - 3 units (3 units down) on the y - axis. So \(W=(3,-3)\)

For \(N\)

• \(N\) is 7 units right on the x - axis and 4 units up on the y - axis. So \(N=(7,4)\)

For \(B\)

• \(B\) is - 4 units (4 units left) on the x - axis and 1 unit up on the y - axis. So \(B=(-4,1)\)

For \(P\)

• \(P\) is 4 units right on the x - axis and - 4 units (4 units down) on the y - axis. So \(P=(4,-4)\)

For \(T\)

• \(T\) is - 7 units (7 units left) on the x - axis and - 6 units (6 units down) on the y - axis. So \(T=(-7,-6)\)

For \(R\)

• \(R\) is - 2 units (2 units left) on the x - axis and - 2 units (2 units down) on the y - axis. So \(R=(-2,-2)\)

For \(Z\)

• \(Z\) is 6 units right on the x - axis and - 5 units (5 units down) on the y - axis. So \(Z=(6,-5)\)

For \(X\)

• \(X\) is - 1 units (1 unit left) on the x - axis and 5 units up on the y - axis. So \(X=(-1,5)\)

Answer:

Part A:

The points are graphed as per the coordinate - graphing rules (left/right for x - coordinate, up/down for y - coordinate) on the given coordinate plane.

Part B:

\(M=(5,5)\), \(D=(1,1)\), \(Q=(-3,-3)\), \(A=(-5,6)\), \(W=(3,-3)\), \(N=(7,4)\), \(B=(-4,1)\), \(P=(4,-4)\), \(T=(-7,-6)\), \(R=(-2,-2)\), \(Z=(6,-5)\), \(X=(-1,5)\)