The table shows a linear relationship between x and y. х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?

Step-by-step explanation:

Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:

Rate of change =

Using (-12, 60) and (-6, 33).

Where,

Plug is the values

Rate of change =

Rate of change =

Simplify

Rate of change =

Rate of change =

i would have to say it is c.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.