20 points and will park brainliest plzz im in a test
which is the equation of a trend line that passes through the points
(7, 450) and (14, 401)?

a. y= -7x+499
b. y= -1/7 x+451
c. y= 1/7 x+449
d. y= 7x+401

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 450) and (x₂, y₂ ) = (14, 401)

m = = = - 7, thus

y = - 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (7, 450), then

450 = - 49 + c ⇒ c = 450 + 49 = 499

y = - 7x + 499 → A

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.