Write an equation that is parallel to y =
1/2x + 2 and goes through the point (2,-3)

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

   The slope is 2, so the parallel line's slope is also 2.

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

   To find b, plug in the point (2, -3) into the equation, then isolate/get the variable "b" by itself

-3 = 1 + b    Subtract 1 on both sides to get "b" by itself

-3 - 1 = 1 - 1 + b

-4 = b

i dont know

step-by-step explanation:

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: