Determine the equation for the line of best fit to represent the data.

scatter plot with points going up from about zero comma negative 3 to the right to about 7 comma zero

y equals three sevenths times x minus 3
y equals negative three sevenths times x minus 3
y equals seven thirds times x minus 3
y equals three sevenths times x plus 3

y equals three sevenths times x plus 3

Step-by-step explanation:

Given the information:

<=> Let A (x1, y1) =  (0, -3)

<=> Let B (x2, y2) = (7, 0)

As we know, the line of best fit is a linear equation that represent the data with the standard form:

y = mx + b where:

For a line that goes trough the points (x1, y1) and (x2, y2), the slope is

m =

In this situation, we have:

m = =  

=> y =  x + b.

Because the line goes through A (0, 3)

=> 3 =  *0 + b

<=> b =3

=> y =  x +  3

So we choose y equals three sevenths times x plus 3

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24

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.