# How do you find the slope given y= -6x+5?

Apr 9, 2018

The gradient can be found two ways.

#### Explanation:

First the gradient can be found from the general formula $y = m x + b$ where $m$ is the gradient.

This means that $m = - 6$

The second way the gradient can be found is by using calculus and differentiating the function.

$y = - 6 x + 5$
$y ' = - 6$

The gradient is $- 6$

Apr 9, 2018

$\text{slope } = - 6$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = - 6 x + 5 \text{ is in this form}$

$\text{with slope m } = - 6$

Apr 9, 2018

Gradient $= - 6$

#### Explanation:

The 'Slope' can also be known as the 'gradient' which is how steep the line is.

As this is in the form:

$y = m x + c$

$m$ is the gradient. and $c$ is the $y$ intercept.

As the line is $y = - 6 x + 5$

$\to$ Gradient $= - 6$