A gradient is a vector, and slope is a scalar. Gradients really become meaningful in multivarible functions, where the gradient is a vector of partial derivatives. With single variable functions, …

Apr 3, 2015 · This works with slope equal to $\text{rise} / \text{run}$, but would not work if the slope were equal to $\text{run} / \text{rise}$ as you suggest. For a modern example, when you …

Apr 29, 2015 · Slope and Euclidean geometry (grade 10) ... I had to find slope DF, then perpendicular passing through (7,3).

Nov 23, 2016 · My mathematics teacher explained how to find slope using 2 different points but I was never taught how to use the X-Intercept and the Y-Intercept to find the slope. Example …

A and A'' are parallel (since A'' is A rotated ±90±90 degrees, and even the ± is a silly distinction as rotating 90 degrees clockwise is the same as rotating 90 degrees counterclockwise), which …

Nov 8, 2017 · One way to think about why $\tan \theta$ is more appropriate to use as an angle to measure slope is when you drive over a steep grade, e.g. the streets of San Francisco, like …

May 10, 2017 · I realize the correct slope is $\frac53$. But why is the formula we learned in grade school breaking down here? Am I making some obvious mistake or what? I'm trying to help a …

$\begingroup$ I thought to find slope I would have to use the formula y2-y1/x2-x1. When I used that, I got the slope of -1/2. After converting it into point slope form I rearranged it to slope …

Feb 12, 2016 · A water main is to be constructed with a $12.5$ % grade in the north direction and a $25$ % grade in the east direction. Determine the angle $\theta$ required in the water main …

Jan 13, 2017 · Slope at a single point cannot be defined that way. Indeed, slope at a point is not and cannot be defined by computation.* Instead it is defined by declaration. In any text or any …