Friday

March 27, 2015

March 27, 2015

Posted by **Britt** on Sunday, December 9, 2007 at 6:41pm.

I know parallel lines have the same slope so the slope is 6 but I do not know how to find the b value.

- Calc -
**Damon**, Sunday, December 9, 2007 at 6:47pmWell you need to find where on that nasty function the slope is 6. Then at that (x,y) you write the y = 6 x + b that goes through that point.

- Calc -
**Britt**, Sunday, December 9, 2007 at 6:50pmhow do I do this?

- Calc -
**Damon**, Sunday, December 9, 2007 at 6:54pmy = x^2 + 4 ln x

dy/dx = slope = 2 x +4/x

when is that slope 6?

6 = 2 x + 4/x

I get at x = 1 and at x = 2

well 1 is easy because ln 1 = 0. It just said "a" tangent line, not all tangent lines.

then y = 1

so I am going to use (1,1)

- Calc -
**Britt**, Sunday, December 9, 2007 at 6:59pmI understand what you are saying but how do you do the algebra foe 6=2x+4/x I seem to have forgotten my algebra.

- Calc -
- Calc -
**Reiny**, Sunday, December 9, 2007 at 6:55pmactually it's not so bad

the derivative of your function is

2x + 4/x

setting this equal to 6 gave me a quadratic which factored nicely and had roots of

x = 1 or x=2

if x=1 then y = 1+4ln1

y=1 ,

so one case is m=6, point (1,1)

case 2

x=2, then y = 4 + 4ln2

so m=6, point (2,4+4ln2)

etc

- Calc -
**Damon**, Sunday, December 9, 2007 at 6:55pmAll set now?

- Calc -
**Britt**, Sunday, December 9, 2007 at 7:00pmNo i need help understanding the algebra behind solving 2x+4/x=6

- Calc -
- Calc -
**Damon**, Sunday, December 9, 2007 at 7:02pm6=2x+4/x

multiply both sides by x

6 x = 2 x^2 + 4

2 x^2 - 6 x + 4 = 0

1 x^2 - 3 x + 2 = 0

factor

(x-1)(x-2) = 0

x = 1

x = 2 are solutions.

I used 1 so the point I could take was (1,1)

**Answer this Question**

**Related Questions**

HELP WITH ALGEBRA!! - 6. What happens to the graph of the line y = 3x -2 when ...

math,correction - The question asks: Find the slope of any ilne parallel to the ...

Algebra - 'L' has y-intercept (0,-3) and is parallel to the line with equation y...

Algebra 1 - 1. Which line is the flattest (or is less steep)? Why? y = 5x -6 y...

MATH! - What type of lines have a slope of zero? Write the equation of a line ...

Algebra - I'm suppose to write an equation with the following information: Line ...

Math - 1) What is the slope of a line that is parallel to y = 2? 2) What is the...

algebra - identify the equation of the line through (-1,-4) and parallel to y=-...

Pre-Algebra - Please let me know if I figured these out correctly. Directions: ...

ALgebra 1 - 4. Write the equation of a line whose slope is 6 and whose y ...