[PRE-CALC] Ellipse: tangent to (x^2)/18+(y^2)/32=1 has slope -4/3, intersects at...

[djdelarosa25]

A tangent having a slope -4/3 to the ellipse x² /18 + y² /32 = 1 intersects the major and minor axes at A and B. If O is the origin, then what is the area of triangle OAB?
Can you guys show me how it's done?

 

[stapel]

A tangent having a slope -4/3 to the ellipse x² /18 + y² /32 = 1 intersects the major and minor axes at A and B. If O is the origin, then what is the area of triangle OAB?
Can you guys show me how it's done?

Sure, we could do it for you. But how would that help? You already have the worked examples from your textbook, your class notes, and whatever online lessons you've studied. Now, it's time to do!

You labelled your post as being "pre-calculus", which means that you don't have calculus methods, such as derivatives. What method did they give you for finding the tangents? (For instance, did they provide you with a formula, such as the one they show here?) How far have you gotten in this method?

Please be complete, so we can see what you're supposed to do, and where you're getting bogged down. Thank you!