Question

55 POINTS FOR ANSWERING THIS QUESTION.
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Draw the graph of y=2x and y=-2x on the same Cartesian plane. Find the coordinates of the point of intersection of the two lines from the graph.

Answer 1

Hey friend,

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The coordinates of first graph will be : . . . . . (-3,-6) , (-2,-4) , (-1,-2) , (0,0) , (1,2) , (2,4) , (3,6). . . . . . . .

The coordinates of second graph will be : . . . . . (-3,6) , (-2,4) , (-2,1) , (0,0) , (1,-2) , (2,- 4) , (3,-6) , (4,-8). . . . . . .

Please see the picture for your answer.

They intersect at the origin i.e. (0,0). {We can also see this in the graph}

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Hope this helped you !!

Answer 2

The given equation is y = x. To draw the graph of this equations, we need atleast two points lying on the given line.



For x = 1, y = 1, therefore (1,1) satisfies the linear equation y = x.
For x = 4, y = 4, therefore (4, 4) satisfies the linear equation y = x.
By plotting the points (1,1) and (4, 4) on the graph paper and joining them by a line, we obtain the graph of y = x.
The given equation is y = – x. To draw the graph of this equation, we need at least two points lying on the given line.
For x = 3, y = – 3, therefore, (3, – 3) satisfies the linear equation y = -x.
For x = – 4, y = 4, therefore, (- 4, 4) satisfies the linear equation y = -x.
By plotting the points (3, – 3) and (- 4, 4) on the graph paper and joining them by a line, we obtain the graph of y = – x.
We observe that, the line y = x and y = – x intersect at the point 0(0, 0).