Question

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

Answer 1

4x - 5y + 30 = 0

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 = (4)/(5) $` and
`$ (x_1 , y_1) = (-5,2) $`.

Substituting in the equation we get

`$ (y - 2) = (4)/(5) (x + 5) $`

`$ \implies 5y - 10 = 4x + 20 $`

`$ \implies 4x - 5y + 30 = 0 $`