the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )
m = 
= 
= 
using (a, b) = (- 4, - 1), then
y + 1 = (x + 4)
Answer:
Question #1 It is three dollars of so the cost is $12
Question #2 The answer is 6
Question #3 21.25
Step-by-step explanation:
Answer:
The answer is D)-2x-11y-13
Step-by-step explanation:
Answer:
Otis can buy 6 pencils...
Answer:
A) Yes, for each increase of 25 employees there is an increase of 150 products.
B) y = 6x + 10
C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)
Step-by-step explanation:
A)
Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.
B)
We can use two pair of points to write a linear equation in the model:
y = ax + b
Using x = 0 and y = 10, we have:
10 = a * 0 + b -> b = 10
Using x = 25 and y = 160, we have:
160 = a * 25 + 10
25a = 150 -> a = 6
So the equation is:
y = 6x + 10
C)
the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)
