How do you determine the slope of the line that goes through #( - \frac { 1} { 2} ,- 2) # and #( - \frac { 3} { 2} ,1)#?

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Answer 1 · 2017-12-12T01:51:28

#m=-3#

Refer to the explanation for the process.

Slope equation:

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

where:

#m# is the slope, #(x_1,y_1)# is one point, and #(x_2,y_2)# is the other point.

I'm going to identify #(-1/2,-2)# as Point 1, and #(-3/2,1)# as Point 2. I could reverse the points, and the final result would be the same.

Plug in the known values and solve for the slope #(m)#.

#m=(1-(-2))/(-3/2-(-1/2))#

Simplify.

#m=(1+2)/(-3/2+1/2)#

#m=(3)/(-2/2)#

#m=3/(-1)#

#m=-3#