Question

I’ll send a picture of problem and graph I don’t know how to write it out on here.

Answer 1

• Given the table of values, you can identify these points:

`(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)`

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

`b=4`

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

`y=mx+b`

And then solve for "m", in order to find the slope of the line.

Using this point:

`(1,8)`

You get:

`\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}`

Therefore, the equation for the data in Slope-Intercept Form is:

`y=4x+4`

Hence, the answer is:

• It represents a Linear Function.

,

• Equation:

`y=4x+4`