Question

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

Answer 1

`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.

Answer 2

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"`