Question

Please help me out. :)

At what point on the y-axis does the line segment joining (1,1) and (9,7) subtend the greatest angle?
(Hint: 1 12 years ago

Answer 1

you have to write out the equation of the line pass through those points

Answer 2

6x - 8y + 2 = 0 ?

Answer 3

where does it come from?

Answer 4

i get that on the two points..

Answer 5

I am sorry, I don't know whether it is right or wrong until you show me your work

Answer 6

i used the formula
Y-Y1 = Y2-Y1 / X2-X1 (X-X1)

Answer 7

I think!! (y2-y1)/(x2-x1) =m is slope of the line. Ok, let me try once

Answer 8

\[\frac{y_2-y_1}{x_2-x_1}=\dfrac{7-1}{9-1}=\dfrac{6}{8}=\dfrac{3}{4}\]
that is the slope.

Answer 9

now, write out the equation of the line with that slope and passing through the point (1,1) which is
y = mx +b
\[y = \dfrac{3}{4}x +b\]
so, \(b= y-\dfrac{3}{4}x\)
now plug (1,1) in
\(b = 1-\dfrac{3}{4}=\dfrac{1}{4}\)
plug back to the equation y = mx +b
\(y = \dfrac{3}{4}x+\dfrac{1}{4}\)
May be I am wrong, but I don't know why my result does not look like yours. Please check and tell me what's wrong ?

Answer 10

I believe that the net is so bad so that you "disappear" :) OK!! I will wait until you stay to get help. We will discuss then. :)