The slope of the line is the ratio of "vertical change" to "horizontal change" and is denoted by the letter m.
m = ( y2 - y1 ) / ( x2 - x1 )
In this case:
x1 = 1 / 2 , y1 = - 4 , x2 = - 2 / 3 , y2 = 5
m = ( y2 - y1 ) / ( x2 - x1 )
m = [ 5 - ( - 4 ) ] / ( - 2 / 3 - 1 / 2 ) =
( 5 + 4 ) / ( - 2 ∙ 2 / 3 ∙ 2 - 1 ∙ 3 / 2 ∙ 3 ) =
9 / ( - 4 / 6 - 3 / 6 ) = 9 / ( - 7 / 6 ) = 9 ∙ 6 / - 7 = - 54 / 7
What is the slope of the line that passes through the pair of points (1/2, −4) and ( − 2/3, 5) ?
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