Question

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

Answer 1

-47/8

Explanation:

A line passes through the point
`(9,-7)` and has a slope of
`(-1)/(8)`.

The equation of a line passing through the point
`(x_(1),y_(1))` and having slope
`m` is given by
`y-y_(1)=m(x-x_(1))`.

For the given line, equation is given by

`y-(-7)=(-1)/(8)(x-9)`

`8(y+7)=-1(x-9)`

`x+8y+47=0`

`y=(-1)/(8)x-(47)/(8)`

This is the slope intercept form of the line
`y=mx+c`. Here
`c` denotes the y-intercept.

∴ y-intercept =
`(-47)/(8)`