Posts Tagged ‘rise over run’

Slope

Tuesday, September 15th, 2009

Finding the Slope of a Line

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Description

A detailed tutorial on how to find the slope of a line. Step by step tutorial including several examples of how to find the slope of a line for reference.

Overview

Finding slope isn’t all that difficult. The slope of a line is the numerical expression of the slant of a line on a graph. The slope is represented by the letter m and is written in the format of rise over run – in other words, from point to point, how many spaces up the line goes and how many spaces over. Negative numbers are used if the slope runs either down or to the left instead of up and to the right. If the graph is already provided, the slope can be found by counting. But the correct way to find slope is to use a formula.

m = (change in y) / (change in x)

In order to use this formula, you need to have two points on the line. The change in x is the first x-coordinate minus the second x-coordinate, and the change in y is the first y-coordinate minus the second y-coordinate. The equations in the numerator and denominator are solved seperately and will form one fraction, which will be the slope.

Slope-Intercept Form

Thursday, September 3rd, 2009

How to Put Equations into Slope-Intercept Form

 

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Description

This video explains how to solve equations and put them into the format y = mx + b so they can easily be graphed. It provides two examples of slightly different equations and shows how to put them into a slope-intercept form so you can graph the equations.

Overview

When graphing, you may be asked to graph an equation that looks like x + y = b. In order to graph this equation, it needs to be in the form of y = mx + b. This is called slope-intercept form. The slope of the line is represented by m, in the form of rise over run, and the y-intercept is represented by b. As in normal algebra problems, you will be required to add, subtract, or divide as neccessary to place the numbers and variables in their proper place.