The slope of the line for the equation is m = -1/2.
What is slope of a line?
The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The equation x + 2y = 16.
⇒ \(x + 2y = 16\)
⇒ \(2y=16-x\)
⇒ \(y=\frac{16-x}{2}\)
⇒ \(y=-\frac{1}{2} x+8\)
The general equation of line in slope intercept form is
\(y=mx+c\)
On comparing the equation with general form,
The slope, \(m=\frac{-1}{2}\)
Hence we can conclude that the slope of the line for the equation is m = -1/2.
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