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.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft