Respuesta :
Answer:
The slope is undefined because the x value is same and what we have will be a vertical line through the point x = -4
Step-by-step explanation:
Here, we want to get the slope between the points (-4,-1) and (-4,3)
Mathematically, we can do this by using the slope equation below:
[tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} } [/tex]
The coordinates with the subscript 1 represents the first point, while the coordinates with the subscript 2 represents the second point
We have that as follows:
[tex]x^{1} =-4[/tex]
[tex]y^{1} =-1[/tex]
[tex]x^{2} =-4[/tex]
[tex]y^{2} =3[/tex]
Now, we susbtitute the values into the slope equation above:
[tex]m=\frac{3+1}{-4+4} =\frac{4}{0} [/tex]
= Undefined.
The slope is undefined because the x value is same and what we have will be a vertical line through the point x = -4