Answer:
Step-by-step explanation:
Use the first two points to get a formula of the line E(5, 12), F(-1, 8)
- y = mx + b is the slope-intercept formula
m is found using two points as:
- m = (y₂ - y₁)/(x₂ - x₁)
- m = (8 - 12)/(-1 -5) = -4/-6 = 2/3
The formula becomes:
Then we find the value of b using one of the points. Let's use point E(5, 12)
- 12 = 2/3*5 + b
- 12 = 10/3 + b
- b = 12 - 10/3 = 26/3
So the formula now is:
To find the missing coordinate we substitute x with 2 and y with k:
- k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10
