The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
Answer:
The equation of the line will be:

Step-by-step explanation:
Given the points
Finding the slope between (3, 4) and (12, 9)




The equation of the line can be obtained using the point-slope form of the equation of the line

substituting the values m = 5/9 and the point (3, 4)



Therefore, the equation of the line will be:

Answer:
see below
Step-by-step explanation:
One tenth is equal to .1 or 1/10
and .04 is nothing but 4/100
So just multiply them together:
1/10 x 4/100 = 4/1000
And since there are 3 0's we need to move the decimal spot 3 places the the left:
.004
So our final answer is