Answer:
The slope of the given line is:
Undefined
Step-by-step explanation:
We are asked to find the slope of a line which passes through the point (-4,0).
Clearly the line is parallel to the y-axis.
i.e. equation of line is:
x= -4
" We know that slope of a line is defined as the ratio of vertical change between the two points to the horizontal change between the same two points "
Here if we consider two points (-4,0) and (-4,2) on the line we see that the slope is given by:
[tex]slope=\dfrac{2-0}{-4-(-4)}\\\\slope=\dfrac{2}{-4+4}\\\\slope=\dfrac{2}{0}[/tex]
As the slope of the line has the denominator term equal to zero.
Hence, the slope of the line is undefined.
