A cable compan is connecting a new customer to its network. On a site plan, the customer's house has coordinates H (7, 17). Y=1/2x+4 represents the cable. Where should they make the connection

Question

A cable compan is connecting a new customer to its network. On a site plan, the customer's house has coordinates H (7, 17).  Y=1/2x+4 represents the cable. Where should they make the connection

anonymous · Answer

from this given equation we can find the slope of the line as 1/2,
So a line perpendicular to it will have slope of (-1)/(1/2) = -2.

anonymous · Answer

You know that the perpendicular line goes through (7,17) so you can find the equation of the line using this information.
Once you get the equation of the line, see where this perpendicular line and the given line intersect.