Write a function rule using the table.

Question

x	y
7	-21
6	-19
-3	-1
8	-23

Answer 1

as x decreases by 1, y increases by 2

slope = change in y divided by change in x = 2/-1 =- 2

-2 = (y--23)/(x-8)= (y+23)/(x-8)

y+23 = -2x+16

y = -2x +16-23

y = -2x -7

plug the points into the equation:

(8,-23)

-23 = -2(8)-7 =-16-7=-23

(7,-21)

-21 =2(7)-7 =14-7=-21

(6,-19)

-19 = -2(6) -7 = -12-7 = -19

(-3,-1)

-1 = -2(-3) -7 = 6-7 = -1

Answer 2

Useing two-point form (your choice of points)

(y + 19) / (x - 6) = (-21 + 19) / (7 - 6)