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Question 137247This question is from textbook
: Why is it true that at the x-intercept, the value of y is 0, and at the y-intercept, the value of x is 0? Please give 1 or 2 examples please?
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This question is from textbook
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! The x-intercept is the point at which the line or curve crosses (intercepts) the x-axis, and, everywhere along the x-axis, the y-coordinate is zero (y = 0).
Similarly, the y-intercept is the point at which the line or curve crosses (intercepts) the y-axis, and, everywhere along the y-axis, the x-coordinate is zero (x = 0).
Example:
Graph the linear equation:
 and identify the x-intercept and the y-intercept:
You can see from the graph that the x-intercept is (-2, 0) and the y-intercept is (0, 4). You'll notice that the y-coordinate and the x-coordinate, respectively, are zero in the two points.
You could have arrived at this conclusion algebraically:
For the y-intercept, set x = 0 and solve for y.
Set x = 0.
 The y-intercept is then (0, 4)
For the x-intercept, set y = 0 and solve for x.
Set y = 0.
 Subtract 4 from both sides.
 Divide both sides b 2.
 The x-intercept is then (-2, 0)
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