Find the standard form for the equation of the line which passes through the point 5,-14 and which has a y-intercept of -1

13x + 5y = -5.

Step-by-step explanation:

As the y intercept of the line is at y = -1 we have:

y = mx - 1    where m is the slope of the line.

When x = 5, y = -14 so:

-14 = 5m - 1

5m = -13

m = -13/5.

So we have y = -13/5 x - 1.

Convert to standard form, first multiply through by 5:

5y = -13x - 5

13x + 5y = -5.

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:

9x