Which equation represents the line that passes through the point (1,-5) and has slope of -2? explain and show your work ) a. y= -2x+7 b. y= -2x+11 c. y=-2x-9 d. y= -2x-3

D) y = -2x -3

Step-by-step explanation:

1. Create a slope-intercept equation: y = -5, m = -2, x = 1

y = mx + d -> y = -2x + d -> -5 = -2(1) + d

Solve: -5 = -2 + d --> d = -3

So, the y-intercept is -3. Putting that into our equation gives us y = -2x -3

c. (3,2,6) is the answer.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.