What is an equation if the line that passes thriugh the point (-4,-6) and is parallel to the line 3x - y = 6

the desired equation is 3x - y = -6

Step-by-step explanation:

Recall that parallel lines have the same slope.  Thus, the desired line has an equation of the form 3x - y = C, where C is determined by the coordinates of the point (-4, -6).

3x - y = C becomes 3(-4) - (-6) = C after substitution of -4 and -6 for x and y respectively.  Then   -12 + 6 = C, and C = -6.

Thus, the desired equation is 3x - y = -6

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.

3 is greater then both of those numbers