Question

Slope of the line that passes through (1, 4) and (1, −3)?

Answer 1

(1,4)(1,-3)....little tip...notice how the x's are the exact same number...if the x's are the same number, then the line is a vertical line and a vertical line has an undefined slope.

if the y's would have been the exact same number, then the line would have been a horizontal line with a slope of 0.

Answer 2

The slope of our given line is undefined.

Explanation:

We are asked to find the slope of line that passes through points
`(1,4)` and
`(1,-3)`.

We will use slope formula to solve our given problem.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`, where,

`y_2-y_1` = Difference between two y-coordinates,

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

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

`\text{Slope}=(-3-4)/(1-1)`

`\text{Slope}=(-7)/(0)`

Since x-coordinates of both points are same, this means that our given line is a vertical line, therefore, the slope of our given line is undefined.