Find the slope of the line containing the two points.(-3,-1),(-3,4)Please show work

Accepted Solution

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. Β  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".