Question

Does the point M (2, 4) lie on the graph of x + y = 6? verify your answer by drawing the graph.

Answer 1

Given,
$x+y=6$
$=>y=6-x$
Substituting different values of $x$ to get corresponding values of $y$, we get
$(0,6),(1,5),(-1,7),(2,4),(-2,8)$
Plotting these points on the graph, we get the graph of the equation, $x+y=6$
From the graph drawn we can see that, $M(2,4)$ lies on the graph of $x+y=6$