Question

What is the equation of a line that passes through the point (6,-4) and has a slope of -1/6

Answer 1

x + 6y + 18 = 0

Explanation:

To find the equation of a line when a point passing through it and its slope are give we use slope and one - point form.

It is given by:
`$ y - y_1 = m(x - x_1) $`

where,
`$ (x_1, y_1) $` is the point that passes through it and
`$ m $` is the slope of the line.

Substituting we have:
`$ y + 4 = (-1)/(6)(x - 6) $`

`\implies 6y + 24 = -x +6`

`\implies x + 6y + 18 = 0`