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: [tex]y = \frac{x}{4} - 6[/tex]
we can write this as;
[tex]y = \frac{1}{4}x +(-6)[/tex] ......[2]
On comparing equation [2] with equation [1] we get;
[tex]m = \frac{1}{4}[/tex] and b = -6.
Therefore, the slope(m) of the line represented by the equation [tex]y = \frac{x}{4} - 6[/tex] would be, [tex]\frac{1}{4}[/tex]
