SOLUTION: What happens to the graph of y=x as you change the y intercept? Written and diagram explanation please!

Question 407539: What happens to the graph of y=x as you change the y intercept? Written and diagram explanation please!
Found 2 solutions by jim_thompson5910, robertb:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Assuming that the slope stays the same, as the y-intercept increases, the x-intercept will also increase at the same rate. On the other hand, if the y-intercept decreases, the x-intercept decreases as well.

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Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The slope of y = x is 1, and the y-intercept is 0. Fixing the value of the slope to 1, if we change the y-intercept to b > 0, then the x-intercept becomes -b <0.
Changing the y-intercept to b < 0, the x-intercept becomes -b > 0.
Hence if we increase the y-intercept, there is a corresponding DECREASE in the x-intercept (in the same numerical amount.) If we decrease the y-intercept, there is a corresponding INCREASE in the x-intercept (in the same numerical amount.)
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