Question

What is the slope of the line represented by the equation y=x/4-6 ?

Answer 1

x/4=x*1/4
Therefore, the slope would be 1/4

Answer 2

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 = (x)/(4) - 6`

we can write this as;

`y = (1)/(4)x +(-6)` ......[2]

On comparing equation [2] with equation [1] we get;

`m = (1)/(4)` and b = -6.

Therefore, the slope(m) of the line represented by the equation
`y = (x)/(4) - 6` would be,
`(1)/(4)`