Question

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

Answer 1

The gradient can be found two ways.

Explanation:

First the gradient can be found from the general formula `y = mx+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 = -6x + 5`
`y' = -6`

The gradient is `-6`

Answer 2

`"slope "=-6`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`y=-6x+5" is in this form"`

`"with slope m "=-6`

Answer 3

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=mx+c`

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

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

`->` Gradient `=-6`