Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
Answer:
Therefore, Steve will paint house for 20.6 days.
Step-by-step explanation:
We know that Steve determines that it would take them 9 days to paint the house together (if they were both healthy) and that it would take Janet (when healthy) 16 days to paint the house alone.
We conclude that in 1 day Janet painted 1/16 of the house. In nine days, Janet painted 9/16 of house.
So, 7/16 of house paint Steve in nine days.
We have the following proportion:

Therefore, Steve will paint house for 20.6 days.
The equation of the line passing through those two points is y=0x+1
Answer:
Examination of the equation shows (graph):
x = 0, y = .5
Then .5 = c gives us the value of c giving
y = m x + .5 is our equation
Using y = 0, x = -1 gives
o = -1 * m + .5
m = .5
y = .5 x + .5 for the final equation
Check:
At x = 5, y = 3
3 = .5 (5) + .5 = 3