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

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.