Write the slope-intercept form of the equation of the line through the given points: (-2,13) and (4,1)

y = -2x + 9

Step-by-step explanation:

Points through which the line passes through are:  (-2,13) and (4,1)

The slop intercept form will be in terms of:

y = mx + c

Find m first which is the slope:

= (Y₂ - Y₁) / (X₂ - X₁)

= (1 - 13) / (4 - (-2))

= -12 / 6

= -2

Using a point on the line and the slope, calculate c which is the y intercept:

Using point  (-2,13) :

y = mx + c

13 = -2 * -2 + c

13 = 4 + c

c = 13 - 4

c = 9

Slope intercept form of line is therefore:

y = -2x + 9

17

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: