Find the slope of the line containing the points \((-1, 6)\) and \((2, 1)\).
Answer (2)
( x 1 ; y 1 ) ; ( x 2 ; y 2 ) m = x 2 − x 2 y 2 − y 1 ========================== ( − 1 ; 6 ) ; ( 2 ; 1 ) m = 2 − ( − 1 ) 1 − 6 = 2 + 1 − 5 = 3 − 5 = − 1 3 2
The slope of the line containing the points (-1, 6) and (2, 1) is -5/3. This indicates the line slopes downward from left to right. The calculation is done using the slope formula, which measures the change in y over the change in x.
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