Question

First blank options: does not change or change 2nd blank options: a constant, a decreasing, or an increasing 3rd blank options: can or cannot 4th blank options: is or is not PLEASE do 27 also

Answer 1

As given by the question

There are given that the graph.

Now,

For finding the linear function, first choose two points from the graph.

Then,

The point is:

`(1,\text{ 1) and (2, 2)}`

Then,

Find the slope of the given line:

`m=(y_2-y_1)/(x_2-x_1)`

Then,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=\frac{2-1_{}}{2_{}-1_{}} \\ m=(1)/(1) \\ m=1 \end{gathered}`

Now,

From the equation of the two-point form:

`y-y_1=m(x-x_1)`

Then,

`\begin{gathered} y-y_1=m(x-x_1) \\ y-1_{}=1(x-1_{}) \\ y-1_{}=x-1_{} \\ y-1-x+1=0 \\ y-x=0 \\ y=x \end{gathered}`

hence, the correct answer is yes, the given function is linear.