Answer:
Slope-intercept form: In the equation of a straight line y =mx+b ......[1],
the slope m is the number that is multiplied on the x,
and b is the y-intercept i.e, the point where the line crosses the vertical y -axis.
Given equation of line: \(y = \frac{x}{4} - 6\)
we can write this as;
\(y = \frac{1}{4}x +(-6)\) ......[2]
On comparing equation [2] with equation [1] we get;
\(m = \frac{1}{4}\) and b = -6.
Therefore, the slope(m) of the line represented by the equation \(y = \frac{x}{4} - 6\) would be, \(\frac{1}{4}\)
