Question

Write the equations of two lines which lie in the same plane and are intersecting at the point (3, −7).


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Answer 1

Given:-

• Intersecting points (3,-7

To find:-

• Equation of the line

Solution:-

• The best suitable method to find the equations is to add and subtract the values of the intersection of the point.
• 3+(-7) = -4 and 3-(-7) = 10
• Therefore the equation of the line becomes:-

        x+y= -4 and x-y= 10

The required equations of two lines on the same plane which are intersecting at points (3,-7) are x + y = -4 and x - y = 10.

Answer 2

Given :  lines intersecting at the point (3, −7).

To Find:  the equations of two lines

Solution:

Infinite lines passed though a given point

Hence infinite possible solutions are there

Easiest solution

x = 3

y = - 7

Equation of two lines  x = 3 and y = - 7  

Few more examples

x +  y  = - 4

x - y  =  10

x = 3  and  x +  y  = - 4

x = 3 and  x - y  =  10

y = - 7 and   x +  y  = - 4

y =  -7 and   x - y  =  10  

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