Answer:
The missing value in the ordered pair is 6.
Step-by-step explanation:
Given that:
The ordered pairs are (-1, 3) and (x,-7)
We have to find the missing value x so that the ordered pairs have a slope -2.
Slope is the steepness of a line which is denoted by m.
Slope =m= -2
Here,
[tex]x_1=-1, y_1=3\\\\x_2=x, y_2=-7[/tex]
Slope is given by;
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the given values,
[tex]-2=\frac{-7-3}{x-(-1)}\\-2=\frac{-10}{x+1}\\-2(x+1)=-10\\-2x-2=-10\\-2x=-10-2\\-2x=-12[/tex]
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{-12}{-2}\\x=6[/tex]
Hence,
The missing value in the ordered pair is 6.
