Does every line have a slope and a y intercept

Yes

Every straight line can be represented by an equation: y = mx + b.

m=slope

b=y-intercept

(www.math.com/school/subject2/lessons/S2U4L2GL.html)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.