Answer: 36
Step-by-step explanation:
The tangent line to the curve has slope equal to
. Use implicit differentiation to find this derivative.


The given line in slope-intercept form is

and has slope -9/2. Any line parallel to this one has the same slope. The tangent to the hyperbola has this slope at points (<em>x</em>, <em>y</em>) such that

Find the points on the hyperbola where this condition is met.

Then use the point-slop formula to build the equations of these tangents:

Answer:
-4m + 6 = 14
Explanation:
You subtract 3m from both sides of the equal sign, meaning:
-m - 3m;
and 3m - 3m.
Both 3m cancels out, and since -m = -1m, you subtract like normal.
-1 - 3 = -4.
So then, you just rewrite the equation.
-4m + 6 (from the original) = 14 (3m is gone now because you canceled it out/subtracted it out.)