Find the slope of the line containing the two points.(2,3),(-1,3)Please show work

Accepted Solution

Answer:[tex]m=0[/tex]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](2,3)=(x_1,y_1)[/tex] and [tex](-1,3)=(x_2,y_2)[/tex]Substitute coordinates of the given points in slope formula:[tex]m=\frac{3-3}{-1-2}[/tex][tex]m=\frac{0}{-3}[/tex][tex]m=0[/tex]Since the y-coordinates of both points is same, which represents a horizontal line.Since rise or vertical displacement is 0, therefore, the slope of the line passing through given points is 0.