What is the slope of the line that passes through points (-2,4) and (-2,8)?

2 Answers
May 13, 2017

#m=oo#

Explanation:

We can observe for this line that the #x#-values are the same. Thus the equation is given by #x=-2#. Such lines are horizontal, and the gradients​ of horizontal lines are infinite.

May 13, 2017

infinite slope/gradient

Explanation:

The slope ( or gradient0 of a line for two sets of coordinates

#(x_1,y_1),(x_2,y_2)#is defined as

#m=(Delta y)/(Delta x)=(y_2-y_1)/(x_2-x_1)#

taking

#(x_1,y_1)=(-2,4);(x_2,y_2)=(-2, 8)#

we notice that the #Delta x# value# =(-2)-(-2)=-2+2=0#

which means that the line does not have a finite gradient.

It is a line that is parallel to the #y-"axis"#