How do you find the slope given (1,2) and (2,5)?

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Answer 1 · 2018-03-06T05:04:19

$\qquad \qquad "slope of line between" \ ( 1, 2 ) \quad "and" \quad ( 2, 5 ) \ = \ 3 \ .$

$"Recall the definition of the slope of a line between two points: "$

$\quad "slope of line between" \ ( x_1, y_1 ) \quad "and" \quad ( x_2, y_2 ) \ = \ { y_2 - y_1} / { x_2 - x_1}.$

$"Applying this definition to our two given points, we get:"$

$\quad "slope of line between" \ ( 1, 2 ) \quad "and" \quad ( 2, 5 ) \ = \ { (5) - (2) } / { (2) - (1) }$

$\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad = \ { 3 } / { 1 } \ = \ 3.$

$"So, we conclude:"$

$\qquad \qquad "slope of line between" \ ( 1, 2 ) \quad "and" \quad ( 2, 5 ) \ = \ 3 \ .$