Question

Find the distance from the line to the given point:
y=1/6x+6
point(-6,5). How could i get another point.Please help!

Answer 1

Consider that point is (x,y), construct line wits those two points (-6,5) & (x,y).
Because the two lines are perpendicular, product of it's gradient is -1.
That's all you need :), hope this help.

Answer 2

Please can you show me the steps

Answer 3

Find the second line gradient first (let's use x1 and y1 for the point mentioned before):
m2=(y1-5)/(x1+6)
Then, from the first line, we know m1=1/6
m1*m2=-1
(1/6)*(y1-5)/(x1+6)=-1
From here we can find x1 in term of y1.