Answer:
y = x + 8
Step-by-step explanation:
y = mx + b
m = (y2 - y1)/(x2 - x1) = (12 - 2)/(4 - (-6)) = 10/10 = 1
y = x + b
Use point (4, 12).
12 = 4 + b
b = 8
y = x + 8
You said -x + 8 > 6
Subtract 8 from each side: -x > -2
Add 'x' to each side: 0 > -2 + x
Add 2 to each side: 2 > x
Now, test the choices:
A). Can 'x' be 4 ?
No. 2 is not greater than 4 .
B). Can 'x' be 1 ?
Yes. 2 is greater than 1 .
C). Can 'x' be 2 ?
No. 2 is not greater than 2 .
D). Can 'x' be 15 ?
No. 2 is not greater than 15 .
Hopes this helps:
Answer: 9