# calculus

posted by .

The point P(4, −2)lies on the curve y = 2/(3 − x).
(a) If Q is the point(x, 2/(3 − x)),use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.

1) 3.9 mPQ=
2) 3.99 mPQ=
3)3.999 mPQ=
4) 4.1 mPQ=
5) 4.01 mPQ=

im so confused! i just started this and my teacher really didn't explain it. can someone please break this down for me?

• calculus -

I will do one of them, you do the others

3) x = 3.999
then y = 2/(3-3.999) = -2.00200200200...

then slope = (-2.002002002 - (-2))/(3.999-4)
= 2.0020020..

• calculus -

thank you for answering me. im just trying to figure this out. i understand how the part y= 2/(3-3.999) = -2.002002002

just your second line im trying to figure out. i can do the others once i just understand the steps. my teacher didn't go over this unfortunately.

• calculus -

nevermind i understand i took another look at it and its clear. thank you so much for getting back to me!!

• calculus -

the original (4,-2) and
the new (3.999, -2.002002002)

(notice that these two points are practically on top of each other)

how do you find the slope between 2 point ?
if we had 2 points ( a,b) and (c,d) wouldn't it
be (d-b)/(c-a) or
you might have been taught
(y2 - y1)/(x2 - x1)

that's all I did.

## Similar Questions

1. ### Calculus

Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d = sqrt((x − (−3))^2 + (y − 1)^2) = sqrt((x + 3)^2 + (y − 1) ^2 ) and, since the point (x, …
2. ### calculus

Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
3. ### Math

The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point x, 3/(7 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of …
4. ### calc

The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If Q is the point(x, 2/(3 − x)),use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. …
5. ### Calculus

Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
6. ### Math

THE POINT (8,-3)LIES ON THE CURVE Y=3/(7-X) (a)IF Q IS THE POINT (x,3/(7-X)) USE YOUR CALCULATOR TO FIND THE SLOPE OF THE SECANT LINE PQ CORRECT TO SIX DECIMAL PLACES FOR THE VALUE OF X. (i)7.9 Mpq?
7. ### linear algebra

Let L be the line with parametric equations x = −5+2t y = −7−3t z = 9−2t Find the vector equation for a line that passes through the point P=(7, 3, −5) and intersects L at a point that is distance 5 from …
8. ### Calculus 1

Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
9. ### Calculus 1

Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
10. ### calculas

The point P(7, −4) lies on the curve y = 4/(6 − x). (a) If Q is the point (x, 4/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 …

More Similar Questions