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

1 Answer
Mar 26, 2016

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

Explanation:

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)#