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

The slope of the line defined by this equation is $\frac{4}{3}$
Find the slope by doing algebra operations to solve the linear equation $4 x - 3 y = 3$ 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 $x$:
$4 x - 3 y = 3 \setminus R i g h t a r r o w 4 x - 3 = 3 y \setminus R i g h t a r r o w y = \frac{4 x - 3}{3} = \frac{4}{3} x - 1$
The slope is $\frac{4}{3}$.