Graph of the equation y = x passes through the _______ quadrants and origin.(a) I and II
(b) II and III
(c) I and III
(d) III and IV
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Y = X passes to quadrants I and III
Step-by-step explanation:
Given equation states y = x
Now, let's substitute 2 negative and 2 positive values for x.
When x = 2, y will be 2. So the co-ordinate will be (2, 2)
When x = - 2, y will be -2. So the co-ordinate will be (-2, -2)
When x = 5, y will be 5. So the co-ordinate will be (5, 5)
When x = -5, y will be -5. So the co-ordinate will be (-5, -5)
If we plot a graph and join the co-ordinates (2, 2), (-2, -2), (5, 5) and (-5, -5), it will be a diagonal straight line which passes through the quadrant I and quadrant III
Please refer to the picture to know where the quadrants lie.
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