the equation of the line in general form for (-20, 35) (-10, -25) is
6x + y + 85 = 0
the shortest distance between a point and a line is the perpendicular distance
6x + y + 85 = 0 (40, 5)
Well, my math teacher gave us this question that he told us would be on the math test tomarow. Im not too sure how to do it but I have an idea.
An underground cable runs from (-20,35) to (-10,-25). Jessica's house is at (40,5). Determine the shortest distance of cable required to connect Jessys house and the underground cable.
So first what I did was get the slope of the underground wire.
M=(y2-y1)/(x2-x1). M=-25-35/-10-(-20) M=-6
Now i know the perp. bisector is 1/6.
Now i have to get the exuation of the line.
y=mx+b
y=5 x=40 m=1/6
When that was all done i got b=-1 1/3.
I dont know if that is right but this is where i am stuck at. It would be real great if someone could help me out. Thanks.
the equation of the line in general form for (-20, 35) (-10, -25) is
6x + y + 85 = 0
the shortest distance between a point and a line is the perpendicular distance
6x + y + 85 = 0 (40, 5)