Write the equation of the line that passes through the points (-1,3) and (-6, -7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

y - 3 = 2(x + 1)

Step-by-step explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

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: