Prove that for any point on the line intersecting the axes in the pict

1.	Prove that for any point on the line intersecting the axes in the picture, the sum of the x and y coordinates is 3.
Answer» If (x, y) lies' on the line joining the points (0,3) and (3,0) then, \(\frac{y-3}{x-0}=\frac{0-3}{3-0}\) \(\Rightarrow \frac{y-3}{x}=\frac{-3}{3}=-1\) y - 3 = x \(\Rightarrow\) x + y = 3 ∴ the sum of the and y coordinates of the point is 3.

Prove that for any point on the line intersecting the axes in the picture, the sum of the x and y coordinates is 3.

Answer»

If (x, y) lies' on the line joining the points (0,3) and (3,0) then,

\(\frac{y-3}{x-0}=\frac{0-3}{3-0}\)

\(\Rightarrow \frac{y-3}{x}=\frac{-3}{3}=-1\)

y - 3 = x

\(\Rightarrow\) x + y = 3

∴ the sum of the and y coordinates of the point is 3.

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Prove that for any point on the line intersecting the axes in the picture, the sum of the x and y coordinates is 3.

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