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

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

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Answer 1 · 2015-06-24T13:27:54

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

Explanation:

All parallel lines have the same slope.

Given two points #(x_1,y_1)# and #(x_2,y_2)# 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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How do you find the slope of any line parallel to the line through points (19, 1) and (10, 2)?

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