# 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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### Understanding calculating the intercept C between two points

I currently started with some basic geometry and I'm already stuck at some very very basic intuition regarding finding the line between two points in a plane. I understand $y = mx + c$ and I am able ...
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### How to tell the run of a line segment where the area underneath it, starting point, and slope are known.

I have a program where I am currently solving for the difference of X₁ and X₂ of a line-segment where the area under the line-segment (A), the slope (s), and the starting point (X₁,Y₁) are known. ...
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### Finding slope m of tangent to curve

been years since I took calculus and am currently struggling with how to properly work out the following: Using the tanget line slope formula: My understanding is that I would need to find the ...
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### How to find point in Descartes Folium with slope of -1/3?

I stumbled upon a problem in my calculus book that asked to find the point in $x^3 + y^3 = 3xy$ that had a slope perpendicualr to $y = 3x + 1$ and also was in the first quadrant. I began by getting ...
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### Find the slope of the line using least squares method

This question is taken from GATE 2005 ICE subject paper. Using the given data points given below, a straight line passing through the origin is fitted using least squares method. $$(x, y)$$ ...
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### How do I calculate the slope of a line knowing one intersection point and the intersection point of that line after two reflection angles?

When a point starting at $O(0,0)$ intersects a side of the square $ABCO$, it reflects so the original angle and reflecting angle are equal. In the bottom side of the square ($AO$), we know the point ...
I have the following exercise. $1$. Find the slope of the tangent to the curve $y = x^3 -4x + 1$ at the point where $x = a$. $2$. Find the equations of the tangent lines in the points $(1, -2)$ ...
### Is there a mathematical term for telling if $|m|$ is greater than or less than one?
A slope can be positive, negative, zero or undefined, but what about the magnitude of the slope? It seems useful to recognize if the slope is steep (greater than $1$) or gentle (less than $1$) as much ...