Question

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

Answer 1

Answer:

Step-by-step 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, $m = \frac{-1}{4}$ and $(x_1,y_1) = (-4,8)$

Substituting in the equation:

$y - 8 = \frac{-1}{4} (x + 4)$

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

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