Question 1127672
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It is a basic concept that you want to understand, as it will make a lot of things easier to understand.<br>
(1) An x-intercept is a place where a graph crosses the x-axis.
(2) Everywhere on the x-axis, the y value is 0.
(3) Therefore, to find the x-intercept(s) of a graph, set y=0 and solve the resulting equation.<br>
In your example...
9x+y = 8
9x+0 = 8
9x = 8
x = 8/9<br>
Note that the answer to the question "what is the x-intercept" can be either the x value by itself, "8/9", or the ordered pair with y=0, "(8/9,0)".<br>
It's not part of your question, but note that finding y-intercepts is similar.<br>
(1) A y-intercept is a place where a graph crosses the y-axis.
(2) Everywhere on the y-axis, the x value is 0.
(3) Therefore, to find the y-intercept(s) of a graph, set x=0 and solve the resulting equation.<br>