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Draw the graph of linear equations $y = x and y = − x$ on the same cartesian plane. What is the point of intersection?

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(5,10)

(0,0)

(1,1)

(3,1)

answer is A.

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Detailed Solution

Given

y = x and y = − x

.
The point where the graphs of two linear equations intersect is called the point of intersection. To draw the linear equation

y = x

. Consider the following values of x and y.

x	-2	-1	0	1	2
y	-2	-1	0	1	2

Join the coordinates

(− 2, − 2), (− 1, − 1), (0, 0), (1, 1)

and

(2, 2)

to obtain the graph of

y = x

.
To draw the graph of

y = − x

. Consider the following values of x and y.

x	-2	-1	0	1	2
y	2	1	0	-1	-2

Join the coordinates

(− 2, 2), (− 1, 1), (0, 0), (− 1, 1)

and

(− 2, 2)

to obtain the graph of

y = − x

Therefore,

y = x and y = − x

intersects at the origin.
Hence, option (1) is correct.

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