How do you find the slope of any line parallel to the line through points (19, 1) and (10, 2)?

1 Answer
Alan P.
Jun 24, 2015

All lines parallel to a line through the points (19,1)(19,1) and (10,2)(10,2) will have a slope of (-1/9)(−19)

Explanation:

All parallel lines have the same slope.

Given two points (x_1,y_1)(x1,y1) and (x_2,y_2)(x2,y2) the slope of the line through those points is (by definition)
m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)

For the given data points this becomes:
m = (2-1)/(1-19) = -1/9

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