## tissyfit 3 years ago Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function f(x) = x2 − x Line x + 3y − 6 = 0

1. anonymous

function $$f(x)=x^2-x$$ had derivative $$f'(x)=2x-1$$

2. anonymous

slope of $$x+3y-6=0$$ is $$-\frac{1}{3}$$

3. anonymous

set them equal and solve for $$x$$

4. viniterranova

2x-1=-1/3