A graph of an additive rule contains the points (2,39)

Question

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: $$39=2+c⟹c=39-2=37$$ Therefore, the expression could be $y=x+37$.

From the second point (4, 41):

• When $x=4$, $y=41$, so: $$41=4+c⟹c=41-4=37$$ 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.