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

Question

X 2x + 3 y

2 2(3) + 3

What is the y-value

A 11

B 2(5) +3

C 9

D 2

E 13

F 7

G 0

Answer 1

Let's evaluate the expression \(y = 2x + 3\) by substituting different x-values and calculating the corresponding y-values.

1. When \(x = 2\): \[ y = 2(2) + 3 = 4 + 3 = 7 \]

2. When \(x = 3\): \[ y = 2(3) + 3 = 6 + 3 = 9 \]

3. When \(x = 5\): \[ y = 2(5) + 3 = 10 + 3 = 13 \]

4. When \(x = 0\): \[ y = 2(0) + 3 = 0 + 3 = 3 \]

Now let's summarize the calculations:

• For \(x = 2\), \(y = 7\)
• For \(x = 3\), \(y = 9\)
• For \(x = 5\), \(y = 13\)
• For \(x = 0\), \(y = 3\)

From the options given:

A. \(y = 11\) (not calculated)
B. \(y = 2(5) + 3 = 13\) (calculated)
C. \(y = 9\) (calculated)
D. \(y = 2\) (not calculated)
E. \(y = 13\) (calculated)
F. \(y = 7\) (calculated)
G. \(y = 0\) (not calculated)

From our calculations, the y-values we have found are \(7\) for \(x = 2\), \(9\) for \(x = 3\), and \(13\) for \(x = 5\).

So, the correct answers that correspond to the values calculated are:

• \(B: 2x + 3 = 13\) when \(x = 5\)
• \(C: y = 9\)
• \(F: y = 7\)