Question

Prove that the straight line joining the points (-1,3) and (4,2) passes through the point(a,b) of a+b=2

Answer 1

Step-by-step explanation:

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Answer 2

a  + b = 2, it is proved.

Step-by-step explanation:

Here, $(x_{1}=-1, y_{1}=3)$ and $(x_{2}=4, y_{2}=2)$

To prove that, a + b = 2

We know that,

The equation of give two points,

$\dfrac{x-x_{1}}{x_{2}-x_{1}} =\dfrac{y-y_{1}}{y_{2}-y_{1}}$

∴$\dfrac{a+1}{4-3} =\dfrac{b-3}{2-3}$

⇒$\dfrac{a+1}{1} =\dfrac{b-3}{-1}$

⇒ $a+1=-b+3$

⇒ a  + b = 2, proved.

Hence, a  + b = 2, it is proved.