Vertical Line Slope

Introduction to vertical line slope:

Vertical line slope is nothing but the line which is parallel to y – axis. If the given line is parallel to the y – axis and it is perpendicular to x – axis we will say that is a vertical line. In this x value is constant it won’t get any variation the changes will be in y value. The equation is like x = a constant value. We will see some example problems for vertical line slope.

Example Problems for Vertical Line Slope:

We are having the general formula to find the slope of the line = `(y2 - y1) / (x2 - x1)`

Here (x1, x2) and (y1, y2) are the points which the line is passing.

Example 1 for vertical line slope:

Find the slope of the line which is passing through the following points (5, 8) ad (5, 9)

Solution:

We know if any line is having the constant value on x then it is known as vertical line. So the given line is a vertical line. We have to find the slope value of the given line.

Slope of the given vertical line =` (y2 - y1) / (x2 - x1)`

(x1, x2) = (5, 8) and (y1, y2) = (5, 9)

Slope of the given vertical line = `(9 - 8) / (5 - 5) = 1 / 0 ` = undefined.

So the slope of the given vertical line is undefined.

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More Problems for Vertical Line Slope:

Find the slope of the line which is passing through the following points (3, 16) ad (3, 24)

Solution:

Here x value of the given points are constant. So thhe given line is a vertical line. We have to find the slope of the given vertical line.

Slope of the given vertical line = `(y2 - y1) / (x2 - x1)`

(x1, x2) = (3, 16) and (y1, y2) = (3, 24)

Slope of the given vertical line = `(24 - 16) / (3 - 3) = 8 / 0 ` = undefined.

So the slope of the given vertical line is undefined.

From the above we can conclude slope of any vertical line is undefined.