Question

How do you find the slope of `y=-9/4x-2`?

Answer 1

-9/4

Explanation:

The equation is already in the slope-intercept form:

`y = mx + c`
The coefficient of x is the slope, and the constant is the y-intercept. Equations in other forms can be converted to this form to calculate slope.

If you are looking for a better answer, you always find slope by differentiating.
For:
`y=-9/4x -2`
Differentiating both sides wrt x, we get,
`d/dx (y) = d/dx (-9/4x-2)`
Or, `dy/dx = -9/4`
which is the required slope.