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Answer:
Standard form of the line with point (4,-8) and slope of 1/4 is
-x + 4 y = -36.
Step-by-step explanation:
The slope of the line equation = 1/4
The point is given as (4,-8).
Now, by POINT SLOPE formula,
The line equation with slope m nad point (x0,y0) is given as:
(y - y0) = m (x -x0)
So, the line equation here is given as
Now, the standard form of line equation is Ax + By = C
Here, 4y = x - 36 ⇒ 4y - x = -36
or, -x + 4y = -36 is the standard form.
Hence,standard form of the line with point (4,-8) and slope of 1/4
is -x + 4y = -36.