Question

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 =

Answer 1

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.