Question

What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4

Answer 1

Explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

`$ (y - y_1) = m (x - x_1) $`

where
`$m$` is the slope of the line and

`$ (x_1, y_1) $` is the point passing through it.

Here,
`$ m = (-1)/(4) $` and
`$ (x_1,y_1) = (-4,8) $`

Substituting in the equation:

`$ y - 8 = (-1)/(4) (x + 4) $`

`$ \implies 4y - 32 = -x - 4 $`

`$ \implies x + 4y - 28 = 0 $`