Use the image to answer the question.

Question

Delaney is a city engineer and needs to create a scale map of the city. She has graphed several landmarks on Main Street, including the gas station and the post office. The city is drawing up plans to construct a road perpendicular to Main Street. What must be the slope of the new road in order to prove it is perpendicular to Main Street? Express your answer as a whole number or fraction.

(1 point)
The slope of the new road must be
.
Remaining Attempts : 3
Skip to navigation

Answer 1

To determine the slope of the new road that will be perpendicular to Main Street, we need to know the slope of Main Street itself. The property of perpendicular lines states that the slopes of two perpendicular lines are negative reciprocals of each other.

If we let the slope of Main Street be \( m \), then the slope of the new road (which would be perpendicular to Main Street) would be \( -\frac{1}{m} \).

Unfortunately, we don't have the slope of Main Street provided directly here, but generally, if Main Street has a defined slope of \( m \), the slope of the new road will be calculated as \( -\frac{1}{m} \).

If you can provide the slope of Main Street from the image or context, I can give you the final answer. Otherwise, if you just need the concept, remember you need to identify \( m \) from Main Street to find the corresponding perpendicular slope.