Question 135815: How can i find the x-intercepts of a graph
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! The graph of a line is a set of points. If a point is on the line, then the values of the x- and y-coordinates substituted for x and y in the equation will make the equation a true statement.
For example, take the line  . The point (4,5) is on the line because  , so substituting 4 for x and 5 for y makes the equation a true statement. On the other hand, the point (1,1) is not on the line, because  , so substituting 1 for x and 1 for y makes the equation a false statement.
The x-intercept is a point of the form (x,0), because y is zero anywhere on the x-axis. So the question becomes: What value does x have to be so that the equation is a true statement when  ?
The procedure is to substitute 0 for y in the equation and then solve the resulting single variable equation for x.
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