Question

How do you find the slope given `4x - 3y = 3`?

Answer 1

The slope of the line defined by this equation is `4/3`

Explanation:

Find the slope by doing algebra operations to solve the linear equation `4x-3y=3` for `y` as a function of `x`. This will put the equation of the line in slope-intercept form, and the slope will be the coefficient of `x`:

`4x-3y=3\Rightarrow 4x-3=3y\Rightarrow y=(4x-3)/3=4/3 x-1`

The slope is `4/3`.