What is the slope of the line passing through the following points: # (-4, -3); (3,-9)#?

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Answer 1 · 2016-03-26T14:49:11

The slope # = ( -6) / ( 7)#

The coordinates provided are:
#(-4, -3) = color(blue)(x_1 , y_1#

#(3 , -9) = color(blue)(x_2 , y_2#

The slope is calculated using formula:

Slope #=color(green)((y_2 - y_1 ) / ( x_2 - x_1)# (change in y axis divided by change in x axis)

# = ( -9 - (-3)) / ( 3 - (-4))#

# = ( -9 + 3) / ( 3 + 4)#

# = ( -6) / ( 7)#

The slope # = ( -6) / ( 7)#