What are the slope and y-intercept of the graph of y = −1/3x + 1 ? a. slope: -1/3 ; y-intercept: 1 b. slope: 1/3 ; y -intercept: -1 c. slope: 1 ; y-intercept; -1/3 d. slope: 1/3 ; y-intercept: 1

A. slope = -1/3; y-intercept = 1

Explanation:

The equation for a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Your equation is y = -1/3x +1.

If we compare like terms, we see that the slope m = -1/3.

The y-intercept is the value of y when x = 0.

y = -1/3(0) +1

y = 1

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.