Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:

so

. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:

. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.

so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is
Answer:
A choice
Step-by-step explanation:
sec is defined as 1/cos.
cos is again defined as adjacent to hypotenuse.
We know that adjacent is x and hypotenuse is r.
Therefore:- cos is x/r
Now sec is 1/cos = 1/(x/r)
1 ÷ x/r is 1•r/x
Thus:-
sec is r/x
I got 0.3125 (i don’t know if that’s correct, because the question was hard for me to understand)
Answer:
Slope m=2, y-intercept b=5 --> y=2x+5
Slope m=3, y-intercept b=5 --> y=3x+5
Slope m=5, y-intercept b=4 --> y=5x+4
Step-by-step explanation:
The slope number goes with x, and the y-intercept gets either added or subtracted from the end of the equation depending on weather it's positive or negative. (subtracted if it's negative and added if it's positive)