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

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is