Question

grade 5 geometry worksheet fill out the table below. write the corresponding ordered pairs and plot them on the coordinate plane. rule: y = 2x
x \t y \t ordered pairs
-2 \t \t ( , )
-1 \t \t
0 \t \t
1 \t \t
2 \t \t
coordinate plane image rule: y = x + 5
x \t y \t ordered pairs
-2 \t \t ( , )
-1 \t \t
0 \t \t
1 \t \t
2 \t \t
coordinate plane image

Explanation:

For the rule \( y = 2x \):

Step 1: When \( x = -2 \)

Substitute \( x = -2 \) into \( y = 2x \).
\( y = 2\times(-2)= -4 \)
Ordered pair: \( (-2, -4) \)

Step 2: When \( x = -1 \)

Substitute \( x = -1 \) into \( y = 2x \).
\( y = 2\times(-1)= -2 \)
Ordered pair: \( (-1, -2) \)

Step 3: When \( x = 0 \)

Substitute \( x = 0 \) into \( y = 2x \).
\( y = 2\times0 = 0 \)
Ordered pair: \( (0, 0) \)

Step 4: When \( x = 1 \)

Substitute \( x = 1 \) into \( y = 2x \).
\( y = 2\times1 = 2 \)
Ordered pair: \( (1, 2) \)

Step 5: When \( x = 2 \)

Substitute \( x = 2 \) into \( y = 2x \).
\( y = 2\times2 = 4 \)
Ordered pair: \( (2, 4) \)

For the rule \( y = x + 5 \):

Step 1: When \( x = -2 \)

Substitute \( x = -2 \) into \( y = x + 5 \).
\( y = -2 + 5 = 3 \)
Ordered pair: \( (-2, 3) \)

Step 2: When \( x = -1 \)

Substitute \( x = -1 \) into \( y = x + 5 \).
\( y = -1 + 5 = 4 \)
Ordered pair: \( (-1, 4) \)

Step 3: When \( x = 0 \)

Substitute \( x = 0 \) into \( y = x + 5 \).
\( y = 0 + 5 = 5 \)
Ordered pair: \( (0, 5) \)

Step 4: When \( x = 1 \)

Substitute \( x = 1 \) into \( y = x + 5 \).
\( y = 1 + 5 = 6 \)
Ordered pair: \( (1, 6) \)

Step 5: When \( x = 2 \)

Substitute \( x = 2 \) into \( y = x + 5 \).
\( y = 2 + 5 = 7 \)
Ordered pair: \( (2, 7) \)

Filled Tables:

For \( y = 2x \):

\( x \)	\( y \)	Ordered Pairs
-1	-2	(-1, -2)
0	0	(0, 0)
1	2	(1, 2)
2	4	(2, 4)

For \( y = x + 5 \):

\( x \)	\( y \)	Ordered Pairs
-1	4	(-1, 4)
0	5	(0, 5)
1	6	(1, 6)
2	7	(2, 7)

Plotting on Coordinate Plane:

• For \( y = 2x \), plot the points \((-2, -4)\), \((-1, -2)\), \((0, 0)\), \((1, 2)\), \((2, 4)\) and draw a straight line through them.
• For \( y = x + 5 \), plot the points \((-2, 3)\), \((-1, 4)\), \((0, 5)\), \((1, 6)\), \((2, 7)\) and draw a straight line through them.

(Note: The plotting part is a graphical task. You can use the coordinate plane provided, find the \( x \)-coordinate on the horizontal axis and the corresponding \( y \)-coordinate on the vertical axis, and mark the points accordingly.)

Answer:

For the rule \( y = 2x \):

Step 1: When \( x = -2 \)

Substitute \( x = -2 \) into \( y = 2x \).
\( y = 2\times(-2)= -4 \)
Ordered pair: \( (-2, -4) \)

Step 2: When \( x = -1 \)

Substitute \( x = -1 \) into \( y = 2x \).
\( y = 2\times(-1)= -2 \)
Ordered pair: \( (-1, -2) \)

Step 3: When \( x = 0 \)

Substitute \( x = 0 \) into \( y = 2x \).
\( y = 2\times0 = 0 \)
Ordered pair: \( (0, 0) \)

Step 4: When \( x = 1 \)

Substitute \( x = 1 \) into \( y = 2x \).
\( y = 2\times1 = 2 \)
Ordered pair: \( (1, 2) \)

Step 5: When \( x = 2 \)

Substitute \( x = 2 \) into \( y = 2x \).
\( y = 2\times2 = 4 \)
Ordered pair: \( (2, 4) \)

For the rule \( y = x + 5 \):

Step 1: When \( x = -2 \)

Substitute \( x = -2 \) into \( y = x + 5 \).
\( y = -2 + 5 = 3 \)
Ordered pair: \( (-2, 3) \)

Step 2: When \( x = -1 \)

Substitute \( x = -1 \) into \( y = x + 5 \).
\( y = -1 + 5 = 4 \)
Ordered pair: \( (-1, 4) \)

Step 3: When \( x = 0 \)

Substitute \( x = 0 \) into \( y = x + 5 \).
\( y = 0 + 5 = 5 \)
Ordered pair: \( (0, 5) \)

Step 4: When \( x = 1 \)

Substitute \( x = 1 \) into \( y = x + 5 \).
\( y = 1 + 5 = 6 \)
Ordered pair: \( (1, 6) \)

Step 5: When \( x = 2 \)

Substitute \( x = 2 \) into \( y = x + 5 \).
\( y = 2 + 5 = 7 \)
Ordered pair: \( (2, 7) \)

Filled Tables:

For \( y = 2x \):

\( x \)	\( y \)	Ordered Pairs
-1	-2	(-1, -2)
0	0	(0, 0)
1	2	(1, 2)
2	4	(2, 4)

For \( y = x + 5 \):

\( x \)	\( y \)	Ordered Pairs
-1	4	(-1, 4)
0	5	(0, 5)
1	6	(1, 6)
2	7	(2, 7)

Plotting on Coordinate Plane:

• For \( y = 2x \), plot the points \((-2, -4)\), \((-1, -2)\), \((0, 0)\), \((1, 2)\), \((2, 4)\) and draw a straight line through them.
• For \( y = x + 5 \), plot the points \((-2, 3)\), \((-1, 4)\), \((0, 5)\), \((1, 6)\), \((2, 7)\) and draw a straight line through them.

(Note: The plotting part is a graphical task. You can use the coordinate plane provided, find the \( x \)-coordinate on the horizontal axis and the corresponding \( y \)-coordinate on the vertical axis, and mark the points accordingly.)