Respuesta :

The third one! you can see the slope based on what’s before x (1/2), and the intercept, which is 3.

Answer:

[tex]y=\frac{1}{2}x+3[/tex]

Step-by-step explanation:

First, we can see that this equation should be written in slope intercept form which is [tex]y=mx+b[/tex] where m is the slope and b in the y intercept.

Just looking at the graph, we need to find the y-intercept, which is the y coordinate at where the graph crosses the y axis.

We can see that the y-intercept is [tex](0,3)[/tex] or +3

We can use this point and another point with natural numbers to find the slope.

We can find another point such as [tex](-2,2)[/tex] and find the slope by calculating the change of y divided by the change of x.

[tex]m=\frac{1}{2}[/tex]

So the final equation is [tex]y=\frac{1}{2}x+3[/tex]