X

Question

0

Determine some points on the line. Substitute x-values into the equation and calculate the y-values.

2x+3

Y

2(0) +3

3

2

2(2)+3

*blank 1*

3

*blank 2*

*blank 3*

4

*blank 4*

*blank 5*

A 11

B 2(5)+3

C 2(3)+3

D 9

E 2

F 13

G 2(4)+3

H 7

I 0

Fill in the blanks

Answer 1

To find points on the line given by the equation \( y = 2x + 3 \), we can substitute various x-values into the equation to find their corresponding y-values.

Let's compute the y-values for \( x = 0, 2, 3, 4, \) and \( 5 \):

1. For \( x = 0 \): \[ y = 2(0) + 3 = 3 \] (This fills blank 1)

2. For \( x = 2 \): \[ y = 2(2) + 3 = 4 + 3 = 7 \] (This fills blank 2)

3. For \( x = 3 \): \[ y = 2(3) + 3 = 6 + 3 = 9 \] (This fills blank 3)

4. For \( x = 4 \): \[ y = 2(4) + 3 = 8 + 3 = 11 \] (This fills blank 4)

5. For \( x = 5 \): \[ y = 2(5) + 3 = 10 + 3 = 13 \] (This fills blank 5)

Now, we can summarize the answers:

• Blank 1: 3 (from \( y = 2(0) + 3 \))
• Blank 2: 7 (from \( y = 2(2) + 3 \))
• Blank 3: 9 (from \( y = 2(3) + 3 \))
• Blank 4: 11 (from \( y = 2(4) + 3 \))
• Blank 5: 13 (from \( y = 2(5) + 3 \))

So our filled-in values are:

• A: 11
• B: 13
• C: 9
• D: 9
• E: 7
• F: 13
• G: 11
• H: 7
• I: 0

In summary:

• Blank 1: 3
• Blank 2: 7
• Blank 3: 9
• Blank 4: 11
• Blank 5: 13