What is the rate of change of the linear function that has a graph that passes through (9,2) and (3,-1)?

Your teacher wants you to find the slope

m = slope

m = (y2-y1)/(x2-x1)

m = (-1-2)/(3-9)

m = -3/(-6)

m = 1/2

Extra info:

We can think of the slope as

slope = rise/run

and furthermore,

Essentially we subtract the corresponding y coordinates together, subtract the x together (in the same order as the y values), then divide the differences.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: