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max2010maxim [7]
2 years ago
8

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

Mathematics
1 answer:
iragen [17]2 years ago
3 0

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 $

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