Question

X
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