Question

A city planner wants to build a road perpendicular to D Street. What is the slope of the new road?

Answer 1

The slope of the new road is zero.

Explanation:

According to the image attached, D street is represents by a vertical line, which angle of inclination is 90°. In other words, the slope of D street is infinite.

So, if the new road is going to be perpendicular to D street, that means the new road has 0° of inclination, because if they are perpendicular and D street is vertical, that means the new road is horizontal, which have 0° of inclination.

Now, the slope of an horizontal line is zero.

Therefore, the slope of the new road is zero.

Answer 2

The slope of the new road is 0.

Explanation:

• the slope of d street line is tan(90)

[if the angle made by a line with x axis is
`\alpha` then, the slope of that line will be tan(
`\alpha`) ]

• here, the angle made by the d street line with x axis is 90 degrees.

• if a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis .

• so, the slope of new road will be tan(0) = 0