Write an equation of the line that passes through point (5,6) and has a slope of 2. A) y = 10 + b B) y = 2x - 4 C) y = 2x + 4 D) y = -5x + 2

y= 2x-4

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b

Where m is the slope and b is the y intercept

y =2x+b

Substitute the point into the equation

6 = 2(5) +b

6 = 10+b

Subtract 10 from each side

6-10 = 10-10+b

-4 =b

y= 2x-4

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.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632