How do you find the slope of the line that passes through each pair of points. (4, -1),(6, -6)?

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Answer 1 · 2016-05-17T07:48:38

The slope # = - 5 / 2#

The coordinates are:
#( 4 , -1 ) = color(blue)(x_1,y_1#

#( 6 , -6 ) = color(blue)(x_2,y_2#

The slope is calculated using formula:

Slope #=color(blue)((y_2- y_1) / ( x_2- x_1)#

# = ( - 6 - (-1)) / ( 6-4)#

# = ( - 6 + 1) / ( 2)#

# = ( - 5) / ( 2)#

The slope # = - 5 / 2#