Question

Draw the graphs of y = x + 1 and x + y - 3 = 0 on the same graph paper and observe that these lines intersect at the point ( ____ , _____ ).

Answer 1

Answer:

Intersection point; A (1,2)

Step-by-step explanation:

To draw the graph of a given line,put some values of x and find the values of y.

1)

$y = x + 1 \\ \\ put \: x = 0 \\ \\ y = 0 + 1 \\ \\ y = 1 \\ \\ (0,1) \\ \\ put \: x = 1 \\ \\ y = 1 + 1 \\ \\ y = 1 \\ \\ (1,2)$

y=x+1,shown with brown color in graph.

$2)x + y - 3 = 0 \\ \\ y = 3 - x \\ \\put \: x = 0 \\ \\ y = 3 - 0 \\ \\ y = 3 \\ \\ (0, 3) \\ \\ put \: x = 1 \\ \\ y = 3 - 1 \\ \\ y = 2 \\ \\ (1,2)$

x+y-3=0,shown with green color on the graph.

Now join these points to draw the line.

On observe we found that these lines intersect at the point A (1,2).

Hope it helps you.