Question

A graph of an additive rule contains the points (2,39)
and (4,41)
. What expression does the graph represent?(1 point)
Responses

x+37
x plus 37

x+39
x plus 39

x+41
x plus 41

x+2

Answer 1

To determine the expression that the graph of the additive rule represents, we can analyze the points given: (2, 39) and (4, 41).

An additive function can be expressed in the form of \(y = x + c\), where \(c\) is a constant.

From the first point (2, 39):
- When \(x = 2\), \(y = 39\), so:
\[
39 = 2 + c \implies c = 39 - 2 = 37
\]
Therefore, the expression could be \(y = x + 37\).

From the second point (4, 41):
- When \(x = 4\), \(y = 41\), so:
\[
41 = 4 + c \implies c = 41 - 4 = 37
\]
This also confirms that \(c = 37\).

Thus, both points indicate that the expression the graph represents is:
\[
y = x + 37
\]

So the final answer is: **x + 37**.