### Home > CALC > Chapter 7 > Lesson 7.1.4 > Problem 7-44

7-44.

Find the equation of the line(s) tangent to that pass through the origin. .

has infinitely many tangent lines; two of them go through the origin.

Let the point of tangency be (*a*, *y*(*a*)) or (*a*, (*a*^{2} +2*a* + 4)).

Therefore, the slope of the tangent lines must be .

Of course, we do not know the value of '

*' yet.*

Write the equation of the tangent line(s) using Point-Slope form. Then solve for . We will solve for '

*' next.*

Since we know that the lines pass through the origin, evaluate () for (

*'.*

Use the eTool below to explore the problem.

Click the link at right for the full version of the eTool: *Calc 7-44 HW eTool*