What is the slope of the line passing through the following points: #(4,-4), (7,0) #?

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Answer 1 · 2018-05-10T00:39:36

The slope is #4/3#.

The formula to figure out the slope of a line using two points is

#m = (y_2-y_1)/(x_2 - x_1)#

In this case, #0# is #y_2# and #-4# is #y_1#. You then have #0- (-4)#, which is equivalent to #0+4#, as your numerator.

Similarly, #7# is #x_2# and #4# is #x_1#, meaning your denominator would be #7-4#. When you solve the expressions you will get

#m = 4/3#

and since #m# represents your slope, #4/3# is the answer.

Answer 2 · 2018-05-10T01:47:36

#m = 4/3#

Use the slope formula, #(y_2-y_1)/(x_2-x_1)#

#(0-(-4))/(7-4) = 4/3#

#m = 4/3#