Question

Find the slope of the line containing the two points.

(2,3),(-1,3)

Please show work

Answer 1

`m=0`

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.

`m=(y_2-y_1)/(x_2-x_1)`, where,

m = Slope of line,

`y_2-y_1` = Difference between two y-coordinates on the line.

`x_2-x_1` = Difference between two x-coordinates of the same y-coordinates.

Let
`(2,3)=(x_1,y_1)` and
`(-1,3)=(x_2,y_2)`

Substitute coordinates of the given points in slope formula:

`m=(3-3)/(-1-2)`

`m=(0)/(-3)`

`m=0`

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.