Determine the slope and the y-intercept of the table.

To find slope use y2 - y1 / x2 - x1. I would suggest doing this twice just to make sure.

For this one, I will use the first three points. (2,2) (4,5) (6,8)

8 - 5 / 6 - 4 = 3/2

5 - 2 / 4 - 2 = 3/2 = your slope

Now, since there is no (0,y) given, we need to find the y-intercept using . . . You guessed it! Point - slope form! I will use the point (2,2)

y-y₁=m(x-x₁)

y - 2 = 3/2 (x - 2)

y - 2 = 3/2x -3

  +2            +2

Y = 3/2x -1

-1 = your y-intercept form.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi