Respuesta :
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.
