The Slope of A Linesource: http://math.about.com | |

Identify a few concepts on (i) gradient properties (ii) equation of a line (iii) trigonometry and gradient and (iv) collinearity from the article below. Post as comment. | |

When the slope of the line is 0, you know that the line is horizontal and you know it's a vertical line when the slope of a line is undefined.
In the Figures below, the subscripts on point A, B and C indicate the fact that there are three points on the line. The change in
y whether up or down is divided by the change in x going to the right, this is the 'rise over run' concept.y = mx + b is the equation that represents the line and the slope of the line with respect to the x-axis which is given by tan q = m. This is the slope-intercept form of the equation of a line. (m for slope? Seems to be the standard!)
When the slope passes through a point A(
x_{1}, y_{1}) then y_{1} = mx_{1} + b or with subtraction y - y_{1} = m (x - x_{1})
You now have the slope-point form of the equation of a line.
You can also express the slope of a line with the coordinates of points on the line. For instance, in the above figure, A(x, y) and B(s, y) are on the line y= mx + b :
m = tan q = therefore, you can use the following for the equation of the line AB:
The equations of lines with slope 2 through the points would be:
For (-2,1) the equation would be: 2
x - y + 5 = 0.
For (-1, -1) the equation would be: 2
x - y + 1 = 0 |

### Coordinate Geometry - about a SLOPE

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