Question

y = 3x-4
Which value is incorrect on the table
x y
-1 -7
0 -4
2 -2
5 11

Answer 1

To determine which value is incorrect in the table, we will use the equation \( y = 3x - 4 \) to calculate the \( y \) values corresponding to each \( x \) value in the table.

1. For \( x = -1 \):
\[
y = 3(-1) - 4 = -3 - 4 = -7 \quad \text{(correct)}
\]

2. For \( x = 0 \):
\[
y = 3(0) - 4 = 0 - 4 = -4 \quad \text{(correct)}
\]

3. For \( x = 2 \):
\[
y = 3(2) - 4 = 6 - 4 = 2 \quad \text{(incorrect, should be 2)}
\]

4. For \( x = 5 \):
\[
y = 3(5) - 4 = 15 - 4 = 11 \quad \text{(correct)}
\]

Now we compare the y-values from the table:

- When \( x = -1 \), \( y = -7 \) (correct)
- When \( x = 0 \), \( y = -4 \) (correct)
- When \( x = 2 \), \( y = -2 \) (incorrect, should be 2)
- When \( x = 5 \), \( y = 11 \) (correct)

Thus, the incorrect value in the table is for \( x = 2 \), where the corresponding \( y \) value is stated as \(-2\) instead of the correct value of \( 2 \).