Question

What is the equation of the line that passes through the point (-6, -6) and has a

slope of - 1/3

Answer 1

The equation of the line is
`y = -(1)/(3)x - 8`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that
`m = -(1)/(3)`

So

`y = -(1)/(3)x + b`

Through the point (-6, -6)

This means that when
`x = -6, y = -6`. So

`y = -(1)/(3)x + b`

`-6 = -(1)/(3)(-6) + b`

`b + 2 = -6`

`b = -8`

The equation of the line is
`y = -(1)/(3)x - 8`