Question

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

Answer 1

x - 4y - 36 = 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 + 8 = (1)/(4) (x - 4)`.

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

`\implies x - 4y - 36 = 0`