Question

How do you find the slope given y=2/3x-8?

Answer 1

2/3

Explanation:

The slope (gradient) is the number in front of `x`.

As the 'coefficient' of `x" is "2/3" "`then this is the slope (gradient).

Answer 2

I found: slope`=2/3`

Explanation:

Here the equation is in a particularly "friendly" form, with respect to the slope `m`, it is in Slope-Intercept form `y=mx+c`.
The slope can be read directly from your equation as `m=2/3`.
If you want to test it you can consider that the slope is a number that gives you how much `y` changes with a change in `x`.
It seems difficult but you need only to choose two values of `x` say:
`x_1=3`
`x_2=9`
and evaluate the corresponding `y` values:
`y_1=2/3*3-8=-6`
`y_2=2/3*9-8=-2`
and then find the slope as:
`m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)=(-2-(-6))/(9-3)=4/6=2/3`