Answer:
Undefined.
Step-by-step explanation:
We have been given coordinates of two points on a line. We are asked to find the slope of the line using given points.
We will use slope formula to solve our given problem.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,
m = Slope of line,
[tex]y_2-y_1[/tex] = Difference between two y-coordinates on the line.
[tex]x_2-x_1[/tex] = Difference between two x-coordinates of the same y-coordinates.
Let [tex](-3,-1)=(x_1,y_1)[/tex] and [tex](-3,4)=(x_2,y_2)[/tex]
Substitute coordinates of the given points in slope formula:
[tex]m=\frac{4-(-1)}{-3-(-3)}[/tex]
[tex]m=\frac{4+1}{-3+3}[/tex]
[tex]m=\frac{5}{0}[/tex]
Since the x-coordinates of both points are same which represents a vertical line, therefore, the slope of the line passing through given points is "undefined".
