What is the y-intercept of the line passing through the point (9,-7) with a
slope of -1/8 ?

-5 7/8

Step-by-step explanation:

We can construct a linear equation for this line, with the form y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

We're given slope of -(1/8), so:

y = -(1/8)x + b

To find b, the y-intercept, use the given pioint and solve for b:

y = -(1/8)x + b  for (9,-7)

-7 = -(1/8)*9 + b

-7 = -(9/8) + b

b = -7 + (9/8)

b = -5 7/8

The y-intercept is -5 7/8

See the attached graph.

111

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870