What is the name for a statement that shows two expressions are equal?

an equation

Step-by-step explanation:

A mathematical statement that two expressions are equal is called an equation. The word "equation" comes from the same root as "equality"... so is two sides of an expression are of equal values, they form an equation

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.