Find the equation of the line making equal intercepts on the coordinate axes and passing through (5,-3)
Answers
Answered by
14
So equal intersept mean tan45 = m = 1
do the equation of line
is
SO USING
(y - y₁)=m(x - x₁) where y₁ = -3 , x₁ = 5 , m = 1
(y+3)=1(x - 5)
x - y = 8 ANSWER
do the equation of line
is
SO USING
(y - y₁)=m(x - x₁) where y₁ = -3 , x₁ = 5 , m = 1
(y+3)=1(x - 5)
x - y = 8 ANSWER
Anonymous:
THAT IS NORMAL METHOD HOW CAN YOU GET A SLOPE WITHOUT USING TAN
Well in your answer I see that x-int=8 y-int=-8 which are not equal
is the answer correct?
Nope, answer is x+y=2
the answer is correct souvik.
you can get x+y=2 by taking tan(theta)=-1 which you have missed.
there are two answers.
you will get by both....
Answered by
9
let the intercept be m
let the points be (0,m) and (m,0)
slope = (0-m)/(m-0) = -1
the line is
(y-m) = -1*(x-m)
it passes through (5,-3)
5-m = -1*(-3-m)
=>5-m=3+m
=>2m=2
=>m=1
line is y-1 = -1*(x-1)
=>y-1 = 1-x
=>x+y=2
let the points be (0,m) and (m,0)
slope = (0-m)/(m-0) = -1
the line is
(y-m) = -1*(x-m)
it passes through (5,-3)
5-m = -1*(-3-m)
=>5-m=3+m
=>2m=2
=>m=1
line is y-1 = -1*(x-1)
=>y-1 = 1-x
=>x+y=2
i have given the solution for the answer you required.
to get the other solution, take the point (0,-m) and (0,m).
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