What is an equation of the line that is parallel to y=4x−10 and passes through (1, 13) ? enter your equation in the box.

y = 4x−10 ; slope m = 4

Parallel has same slope so slope of new line = 4

y = 4x + b

b = y - 4x

Passes through (1, 13)

b = 13 - 4(1)

b = 13 - 4

b = 9

Equation

y = 4x + 9

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: