Question

What is the slope of `Y=-1/4x+2`?

Answer 1

This equation is already in slope-intercept form, so you can read the slope as the coefficient of `x`, that is `-1/4`

Explanation:

The slope-intercept form of the equation of a line is:

`y = mx+c`

where `m` is the slope and `c` is the intercept (with the `y` axis).

Any line parallel to this line will have the same slope `-1/4`.

Any line perpendicular to it will have slope `-1/m = 4`