Question

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

Answer 1

-5 7/8

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.