What is the slope of the line passing through the following points: # ( 7,2 ) , ( 4,16 ) #?

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Answer 1 · 2018-05-22T01:36:05

#m= -14/3#

Formula for some #m# is:

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

let's use:

1: (7,2)
2:(4,16)

it doesn't mater which you choose as 1 or 2:

#m=(16-2)/(4-7) = -14/3#

so:

#m= -14/3#

Answer 2 · 2018-05-22T01:36:25

The slope is #-14/3#

Using the slope formula, you can solve the slope of a line going through any two points. The slope formula is:

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

Remember the points are in the form #(x,y)#. I'm going to call #(7,2)# Point 1, so:

#x_1 = 7#
#y_1 = 2#

I'll call #(4,16)# Point 2, so:

#x_2 = 4#
#y_2 = 16#

Now substitute those values into the equation:

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

#m = (16 - 2)/(4-7)#

#m = 14/-3#

#m = -14/3#

The slope of this line is #-14/3#.