# slope

1. ### Vertical Lines and Slope

Why does a vertical line have no slope? Please, explain in simple words.
2. ### Slope of the tangent line to the curve

Need an answer for b). on the page. How is the slope of the tangent line to the curve found, considering we are NOT supposed to know how to take derivatives (in either the hard or easy way)? As you see, I already got a correct answer of 4, but I don't really know how I got it. I need to know...
3. ### Find the slope of a hyperbola

I guess I should use some properties of a hyperbola here?
4. ### Find a cubic polynomial with zero slope at certain points

Can someone hint at how to solve it? I know it probably has to do with trying to find constants for the derivative $3a_1 x^2+2a_2 x + a_3=0$ and then maybe figuring out the anti-derivative with power rule. The problem is from a power rule chapter, by the way, so I don't have tools beyond that.
5. ### Which trigonometric function gives the slope of the tangent at some angle

Considering a circle. Negative cotangent? Although it seems like the answer is secant (what I've found on the internet), but I'm still not sure why. I don't know much about secants other than the fact that they are reciprocals of cosines.
6. ### Slope zero??

Line l contains the points (5\sqrt{2}, -6) and (\sqrt{50}, 2). Give the slope of any line perpendicular to l. Ok. Perpendicular means that the product of their slopes must be equal to -1 as they are negative reciprocals. So: Slope = \frac{rise}{run} = \frac{y_1-y_2}{x_1-x_2} =...
7. ### generating polynomials from the given coordinates and slope

hi fellas, i was wondering if there is a software to generate a polynomial function from given coordinates and the slope. actually i have a graph and i identified the co ordinates but i need to generate the function now to perform my job. please suggest me a good program
8. ### slope of the tangent line to the curve of intersection of the vertical plane &surface

Hello, vert plane: x - root(3)*y + 2*root(3) - 1 = 0 surface: z = x^2 + y^2 slope of the< tangent line to the curve of intersection of the vertical plane &surface at point (1,2,5) First, I took the gradients and plugged in (1,2,5) del F (1,2,5) = <1, - root 3, 0> && del G (1,2,5) =...
9. ### Slope field?

Can anyone help me figure out the slope field of dy/dx= x(cubed root(y))? I just can't figure it out.
10. ### Slope and integral?

In this picture: I'm having trouble with the first question. I've gotten both 1/6 and 6, but I think 6 is right? The second question I'm pretty sure about but is it right? My friend taking the same practice quiz says it's option 2 :( That's not what I ended up with though.
11. ### Finding points where equation at a certain slope

So when you have an equation such as x^2 + 4x + 9 = 0, and you're looking for the two x values where y = 0, you can use the quadratic equation or you can factor it out or simplify it... So forgetting the equation mentioned above and going to this one -3x^2 + 12x = 0, I want to find the x values...
12. ### Why Does m Represent the Slope of the Line

Why Does m Represent the slope of the line? I use s for slope. My equation is y = sx + b. I could also use I for Intercept. The equation can be expressed y = sx + I. What is wrong with that? Does anyone know a link explaining why m has been used to represent slope? What do you think about...
13. ### How to find the ordered pairs when you only have Ax=By=C?

So um, my homework wants me to find the ordered pairs of the equation in the picture, but the lesson never went over how to do so. How do I find the ordered pairs of an equation in the form of Ax=By=C?
14. ### Challenging slope, point problem I need help with.

So just registered, and was hoping you guys and girls could help me this problem. I have never encountered one like it. Here it is: Find the slope of all lines through (7,-4) whose slope is half of its x-intercept. I would appreciate if anyone could help me. Thanks!
15. ### Slope of all Tangent Lines through the origin. Method 1.

https://skydrive.live.com/redir?resid=DB0189AA1CD22777!139676&v=3 https://skydrive.live.com/redir?resid=DB0189AA1CD22777!139675&v=3 To start with I graphed the equation 1+(x-1)^2. I see that the origin of the parabola is shifted one unit up and one unit to the right and the parabola faces...
16. ### Find Slope of Each Tangent

From the point (0,-5), tangent lines are drawn to the circle (x-3)^2 + y^2 = 4. Find the slope of each tangent. I want the steps only. Thank you.
17. ### Slope of a Tangent Line.

I see that one of the ways to find the slope of a tangent line P->Q is to is to build a table like the one I attached but the problem is that it is not the exact slope since a value for one is erroneous. I think that a better solution is provided with y-y0=f'(x0)(x-x0) I have attached the...
18. ### Determining slope of third line

Hi, Here's an interesting problem: I have 2 lines with slopes and y-intercepts. I have a third line with just a y-intercept and I need to determine it's slope in the following condition. The condition: What slope of the third line creates a triangle with an area of 0.1? There should be two...
19. ### Need help to look at slope change intuitively and mathematically

Let's assume that you have a slope, y/x , where y is greater than x. Now let's assume that you add the same number to both x and y to give you a new slope: you have (y+a)/(x+a) This new slope will be smaller than the original one. How can you prove this? Any help would be greatly appreciated :)
20. ### Implicit differentiation find points where slope is ___

I have two problems dealing with this. I am getting myself all screwed up and could use help. the first is at what points is the slope of the tangent line equal to 1 on [x^2/9] + [y^2/16] = 1 So I got the derivative dy/dx = -[16x/9y] so now I solve for -[16x/9y] = 1 ; correct? The other...