Question

Find the slope of the line containing the two points.

(-3,-1),(-3,4)

Please show work

Answer 1

Undefined.

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
`(-3,-1)=(x_1,y_1)` and
`(-3,4)=(x_2,y_2)`

Substitute coordinates of the given points in slope formula:

`m=(4-(-1))/(-3-(-3))`

`m=(4+1)/(-3+3)`

`m=(5)/(0)`

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".