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

Jul 21, 2016

-9/4

#### Explanation:

The equation is already in the slope-intercept form:

$y = m x + c$
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:
$y = - \frac{9}{4} x - 2$
Differentiating both sides wrt x, we get,
$\frac{d}{\mathrm{dx}} \left(y\right) = \frac{d}{\mathrm{dx}} \left(- \frac{9}{4} x - 2\right)$
Or, $\frac{\mathrm{dy}}{\mathrm{dx}} = - \frac{9}{4}$
which is the required slope.