Question

Question 5
Write whether the following statement is True or False?
The coordinate of points in the table.
$\begin{array}{cccccc}X& 0& 1& 2& 3& 4\\ Y& 2& 3& 4& -5& 6\end{array}$
Represent some of the solutions of the equation x - y + 2 = 0.

Answer 1

False.
The coordinates of points are (0, 2), (1, 3), (2, 4), (3, -5) and (4, 6)
Given equation is x - y + 2 = 0
At point (0, 2); 0 - 2 + 2 = 0 $\Rightarrow$ 0 = 0, it satisfies,
At point (1, 3); 1 - 3 + 2 = 3 - 3 = 0 $\Rightarrow$ 0 = 0, it satisfies.
At point (2, 4); 2 - 4 + 2 = 4 - 4 = 0 $\Rightarrow$ 0 = 0, it satisfies.
At point (3, -5); 3 - (-5) + 2 = 3 + 5 + 2 = 10 $\ne$ 0, it does not satisfy.
At point (4 , 6); 4 - 6 + 2 = 6 - 6 = 0 $\Rightarrow$ 0 = 0, it satisfies.
Therefore, all the points are not lying on the given line.