# Questions tagged [slope]

For questions on finding or applying slope, a number that describes both the direction and the steepness of a line.

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### How to determine the elevation at the edges of a tilted rectangle?

The rectangle is slanted in direction B to C and the elevation at point B (between the edge and the floor) is 1.2 cm. C is the only edge that touches the floor. How to determine the elevation at ...
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### Slope and GCD points

given a slope in the form $y=ax+b$ My question is to know if there are (and if yes how to find them) points $(x,y)$ where : $gcd(x,y)>1$ (to be more precise, the $gcd$ is made between the $x$ and ...
1 vote
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### How to find the upper and lower bounds for slope and intercept in linear algebra? [closed]

I'm trying to make an algorithm for linear regressions where it will test every slope and intercept to find the perfect slope and intercept. From what I was taught, that is the standard way of making ...
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### Significance of tangent passing through the origin in graphical interpretation

(This question was asked in CSIR NET June 2019 examination) A monkey climbs a tree to eat fruits. The amount of energy spent climbing on the different branches has a relationship, as shown in the ...
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### Get all slopes of $x^3 + 2y^2 -2xy = 0$ at $(0,0)$

Consider the curve with the equation $x^3 + 2y^2 -2xy = 0$. If we want to find the slope at $(0,0)$, we can differentiate implicitly and substitute $(0,0)$. This gives $y' = 0$ and all seems well, but ...
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### slope of vertical line

I have multiple lines (let's say 8 lines for this example) and I want to cluster these lines by their slopes. Therefore I calculate the slope of every line using the formula: $m=\frac{y2−y1}{x2−x1}$ ...
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### what is the unit of this rate of change?

I'm given a table that shows the percent of Canadian households that used e-mail from year A to year B. Then what is the unit of the average rate of change of the percent of households using e-mails ...
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### Finding the percentage change in the slope with the correct plus or minus symbol.

I am trying to build a formula with the data that I have below. The formula will be embedded in a Arduino sketch. Column A is the time stamp and Column B is my voltage value. Column C is a threshold ...
1 vote
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### An odd equation that is a straight line: $x(y^2-x^2)=y^3$

I was idly messing around in Desmos the other day and came up with this equation: $$x(y^2-x^2)=y^3$$ The graph looks like this. A perfectly straight line. My first instinct was to differentiate it, ...
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### Solving logistic regression equation for slope

I've calculated a logistic regression model involving two variables $X_1$ and $X_2$ and their interaction $X_1 \times X_2$ and obtained regression coefficients for each. The equation takes following ...
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### Linear clustering when plotting Pisano periods

Recently I saw a video on YouTube where the Fibonacci numbers were studied and around minute 4:20 appears a graph showing the period against the modulus. Something that caught my attention is that ...
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### Best fit of deltas unequally spaced to reconstruct original curve

I have a collection of measurement deltas $m_1...m_n$ where each measurement consists of two points $(x_{n1},y_{n1})$ and $(x_{n2},y_{n2})$ the $x_{n1}$ and $x_{n2}$ represent where the measurement ...
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### A term that describes the scenario when there is at one least trending data set for data sets over same time range

Given that I have 2 separate sets of plotted data points. Both data points run over the same time interval. Assume that at any given time interval, both datasets are either trending or one is trending ...
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### In what sense not using a unit vector would "mess up" the directional derivative?

I've read dozens of questions and answers here regarding the usage of unit vectors when calculating directional derivative, and I get that it's only a convention and not mandatory. But the tendency to ...
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1 vote
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### Finding x-axis-intercept of a parametric equation and slope

let $x = t^2$ and $y = t^3-3t$ now the equation for the slope is: $$\frac{dy}{dx} = \frac{3t^2-3}{2t} = 0$$ now at the point (0,0) is the first intercept with the x-axis with slope $\infty$ what is ...
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### Calculate slope for 5 data points with no specific X value

I'd like to easily find out if the five points are getting better, worse, or staying flat. This is in regard to performance of a machine learning classifier when the classifier is provided fractions ...
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### Give coordinates of line A, find the coordinates of another line meeting line A at an angle. [closed]

In the diagram, if x1, y1, x2, y2, ...
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### Finding number of values of slope of line L

The following question is taken from JEE practice set. In a plane rectangular coordinate system, there are three points $A(0,\frac43), B(-1,0)$ and $C(1,0)$. The distance from point P to line BC is ...
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### Derived function slope to the given function [closed]

Preface: I'm just a musician, trying to understand some math. Don't blame me, please ;) Synopsis: Given next 5 images, calculate slope of the proportion function. Make so the highest proportion is ...
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### Finding a downward sloping function given a tangent point on a linear curve

I have a linear function $10-5x$. I am trying to create a downward sloping curve at a point where the tangency point is $(1.5, 2.5)$. I tried using a function of $3.75/x$, but instead of making it a ...
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### How does dividing rise/sum result in the slope of a line?

I can't get my head around how dividing the differences of two points gives us the inclination of a line. I do understand that the slope will show how much or little a change in $X$ will affect the ...
1 vote
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### Are these two graphs touching or intersecting?

Do the curves $x^2 - 1$ and $2^x$ touch or intersect at $x=3$? Both have same values ($=8$) but values of their derivatives at $x=3$ are different. If two curves touch shouldn't their tangents have ...
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### Intuitive Way to Find Maximum Gradient of a Bezier Curve

I'm trying to find if any point on a bezier curve has a slope that is lesser than some predetermined angle, let's say $45^\text{o}$. For certain cases I can see that the answer is obvious. Like ...
1 vote
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### How to bring $\log(y) = \log(a) + \log(e^{bx})$ to $y=mx+c$ format?

I was solving a problem regarding equation of the straight line. The question is to find the best value of $a$ and $b$ if $$y = ae^{bx}.$$ What I tried? I multiplied LHS and RHS with $\log$ in order ...
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### How to reshape a nonlinear curve into a linear curve?

I have this data: ...
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### Rigorous proof of intersection of straight line and two graphs in a translation relationship

The question is : $f(x) = \log_3 x, g(x) = \log_3{(x+3)+4}$ There are two intersections $\mathrm A$ and $\mathrm B$ made by $y=-{4\over 3}x+4$ $\overline {\mathrm {AB}} = ?$ It was obvious by the ...
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### Slope of Tangent line of Polar Curve at Point

Question We had an examination today in college and the question was this: Find the slope of the tangent line of polar curve $r = 3(1-\cos\theta)$ at point $B(\pi/3, 3/2 )$. Answers are: $2\pi$, \$\pi/...
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### Doubt regarding finding the gradient of of a scalar field

I am new to vector calculus. I watched few you tube videos and came to the conclusion that directional derivative is something like slope with direction and its ...
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