Question 197064This question is from textbook
: What are the x-intercept and y-intercept of a linear equation?
What are their coordinate on a graph?
How can they be used to graph a line?
Demonstrate by determining the intercepts of 14x + 7y = 21
This question is from textbook
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! let's do example 1st
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14 x +7y =21
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making a "t box",,,,,,,,,,,x,,,,,,,,,,y
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0,,,,,,,,,,3
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,3/2,,,,,,0
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plotting these, (0,3) is the y intercept, that is when x=0
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(3/2, 0) is the x intercept, that is where y=0
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plotting on standard x-y coordinates, shows a line with y intercept of 3, and negative slope (-2)
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checking,,, putting in slope intercept form, y=-2x +3,,, which matches
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In general, x intercept is found by setting y=0
and , y intercept is found by setting x =0.
They are extremely useful in plotting the graph.
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