How do you find the slope of a line segment connecting points (-3,4) & (7,-16)?

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Answer 1 · 2016-05-11T04:54:56

The slope # = -2#

The coordinates are:
#( - 3 , 4 ) = color(blue)(x_ 1 , y _ 1 #

#( 7 , -16 ) = color(blue)(x_ 2 , y _2 #

The slope is calculated using formula:
Slope #= color(blue)((y_2 - y_1) / (x_2 - x_1)#

# = ( -16 - 4 ) / ( 7 - (-3))#

# = ( -20) / ( 7 + 3 )#

# = ( -20) / 10 #

# = -cancel20 / cancel10 #

The slope # = -2#