Answer:
The missing value in the ordered pair is 66
Step-by-step 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,
[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]
Putting the values in slope of line formula,
[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]
Multiplying both sides by -14
[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]
The value of r is 66
Hence,
The missing value in the ordered pair is 66
