Question

Find the value of r so the line that passes through the pair of points has the given slope.

(12, 10) (-2, r), m = -4

Answer 1

The missing value in the ordered pair is 66

Explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

`x_1=12, y_1=10\\x_2=-2, y_2=r`

Putting the values in slope of line formula,

`-4=(r-10)/(-2-12)\\ -4=(10-r)/(-14)\\`

Multiplying both sides by -14

`-4*-14=(r-10)/(-14)*-14\\56=r-10\\56+10=r\\66=r\\ r=66`

The value of r is 66

Hence,

The missing value in the ordered pair is 66