Question

find the equation of straight line passing through the point (1,3) such that the intercept on the y-axis exceeds that on the x-axis by 4

Answer 1

Answer:

Consider given that,

Y-axis twice as long as that on the x-axis.

Then, let the points be (a,2a)

Now, we know that the equation of straight line is

a

x

+

b

y

=1

a

x

+

2a

y

=1

2x+y=2a ……. (1)

And given point (x,y)=(3,4) lies the line

Then,

2×3+4=2a

2a=10

a=5

By equation (1)

2x+y=2×5

2x+y=10

Or

5

x

+

10

y

=1

Hence, it is complete solution.