slope = m =. Slope. The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. As a formula,. Here, ( x 1 , y 1 ) and ( x 2 , y 2 ) are two points on the line. Example 1:.
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slope = m =
The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.
As a formula,
Here, (x1, y1) and (x2, y2) are two points on the line.
Find the slope of the line that contains the points (- 5, 3) and (4, 0).
Here, x1 = - 5, y1 = 3, x2 = 4, and y2 = 0.
means the line falls1 unit (because of the negative) for every three units to the right as shown by the red arrows on the graph.
Geometric Interpretation of slope:
Find the slope of the line that contains the points (- 1, 3) and (- 1, - 2).
which is undefined.
In example two, the slope was found to be undefined. Here the two points lie on a vertical line.
Facts About Special Lines
The slope of a vertical line is undefined.
The slope of a horizontal line is zero.
END OF PRESENTATION Here the two points lie on a