Question

I need help with this ​

Answer 1

The missing value in the ordered pair is 6.

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,

`x_1=-1, y_1=3\\\\x_2=x, y_2=-7`

Slope is given by;

m =
`(y_2-y_1)/(x_2-x_1)`

Putting the given values,

`-2=(-7-3)/(x-(-1))\\-2=(-10)/(x+1)\\-2(x+1)=-10\\-2x-2=-10\\-2x=-10-2\\-2x=-12`

Dividing both sides by -2

`(-2x)/(-2)=(-12)/(-2)\\x=6`

Hence,

The missing value in the ordered pair is 6.