81.8k views
1 vote
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road? The image shows a 2-dimensional graph with an x-axis and a y-axis. There are 5 lines drawn on the graph. Line named “1st Ave” is parallel to x-axis and passes through points (0,4). Line named “2nd Ave” is parallel to x-axis and passes through points (0,1). Line named “D Street” is parallel to y-axis and passes through points (5,0). Line named “Central Ave” passes through points (-6,-6) and (-1,7). Line named “Main Road” passes through points (-2,-6) and (4,7). Central Ave and Main Road are parallel to each other. slope =

User Johey
by
8.2k points

1 Answer

1 vote
From the given information, "D Street" is parallel to the y-axis and passes through the point (5,0). This means that D Street is a vertical line.

The slope of a vertical line is undefined.

For a line to be perpendicular to a vertical line, it must be horizontal. The slope of a horizontal line is 0.

Therefore, the slope of the new road that is perpendicular to D Street should be
m=0.
User WendiKidd
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories