Answer:
-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.
