Write the slope/intercept form of an equation of the like that's passes through the given point and is parallel to the graph of an equation (-2,-3) y=2x+1

The equation is y = 2x + 1

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y. Since this is already solved for y, we can just pick the coefficient of x (2)

With the slope of 2, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - -3 = 2(x - -2)

y + 3 = 2x + 4

y = 2x + 1

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: