#8. find each point at which the tangent line to the curve $\displaystyle y1=2x +(4/x) +1$ is parallel to the line $\displaystyle y2+2x=6$.

How would I do this? Take y1' and get y1'(4) and set it equal to the slope of y2 and then plug in y1 for x and y values? The answer is (1, 7) and (-1, -5).