Question

what is the equation of straight line passing through the point (4,3) and making intercept on the coordinate axis ?​

Answer 1

Answer:

Equation of a line making an x−intercept =

′

a

′

units and y−intercept =

′

b

′

units is given by

a

x

+

b

y

=1⟶(1)

Also, a+b=−1⟶(2)

And equation (1) passes through point (4,3)

∴

a

4

+

b

3

=1⟶(3)

From (2), b=−a−1⟶(4)

Substituting (4) in equation (3) we get

a

4

+

−a−1

3

=1

⇒

a

4

−

a+1

3

=1

⇒4a+4−3a=a(a+1)

⇒a+4=a

2

+a

a=±2

∴ a=2 a=−2

b=−3 b=1

∴ the probable equation will be

2

x

−

3

y

=1 and −

2

x

+

1

y

=1

Step-by-step explanation:

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