Question

Answer the written question only : Explain the meaning of both values in the context of the situation.

Slope and Y-intercept and what they both mean!

Answer 1

The y-int=8 and the slope=3

Explanation:

y-int in this situation means that they start with 8 flags.

slope means that each time there are 3 more students then there is 1 more flag. (I think)

Answer 2

see below

Explanation:

Slope: The slope is
`(rise)/(run)`, and this means that depending on how many students are increased, then the total number of flags also increases.

Y-intercept: When x=0, when there are 0 students, how many flags are already made.

The slope is

`(y2-y1)/(x2-x1)`

`(44-8)/(12-0)\\ =(36)/(12)\\ =3`

The y intercept is (0,8)

In this context, the slope represents that for every 3 students, 1 flag string is made. The y-intercept represents that when no students had made their own flag string, 8 flag strings had already been pre-made.

To answer the very last question (even though you didn't ask for it), the equation would be:

y=3x+8

Hope this helps additionally! :)