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11 grade maths others

How do you graph x-y=0?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To graph the equation x - y = 0, follow these steps:

Rewrite the equation: The equation x - y = 0 can be rewritten as: x = y. This means that for every value of x, the value of y will be the same.

Plot points: Now, to graph this, pick some values for x and find the corresponding values for y (since y = x):

If x = 0, then y = 0.
If x = 1, then y = 1.
If x = -1, then y = -1.
If x = 2, then y = 2.
If x = -2, then y = -2.
Plot these points on the coordinate plane: For each pair (x, y), plot the points:

(0, 0)
(1, 1)
(-1, -1)
(2, 2)
(-2, -2)
Draw a straight line: After plotting the points, draw a straight line through them. The points will form a diagonal line that passes through the origin (0, 0) and continues in both directions. The line will have a slope of 1, meaning it rises 1 unit for every 1 unit it moves to the right.

The graph of the equation x = y (or x - y = 0) is a straight line that passes through the origin with a slope of 1. It is a 45-degree line that makes an equal angle with the x-axis and y-axis.