What is the equation of the line that passes through the point 5, 7) and has a slope of -2/5?

y =

Step-by-step explanation:

The formula for the equation of a line is y = mx + b, where m is the slope and be is the y-intercept. We have everything we need except for the b, which is the y intercept. WE have the point (5,7) were x = 5 and y =7 and m = (-2/5) substituting these into the equation will give us that b = 9

After substituting the slope of m and b into the equation, we get the equation above.

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.