Question

Graph the linear equation by finding and plotting its intercepts.
x-y=1

Answer 1

Answer: To graph the linear equation x - y = 1, we can find its intercepts by setting one of the variables to zero and solving for the other.

Explanation:

Setting x = 0, we get:

0 - y = 1

Solving for y, we get:

y = -1

So the y-intercept is (0, -1).

Setting y = 0, we get:

x - 0 = 1

Solving for x, we get:

x = 1

So the x-intercept is (1, 0).

Now we can plot the intercepts on a coordinate plane and draw a straight line passing through them:

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-2 -1 0 1 2

Therefore, the graph of the linear equation x - y = 1 is a straight line passing through the points (0, -1) and (1, 0).