Question

{(-9,3) (5,-6) (3,-1), (-6,5), ?}Which ordered pair can replace the missing value and make the set if ordered pairs NOT a function? •(-1,-6)•(9,4)•(6,3)•(-6,-9)

Answer 1

$\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}$$\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\ \\ y--6=\frac{5}{-2}(x-5) \\ \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}$

The missing values are (-6, -9) ( The last option)

Explanation:

x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.