SOLUTION: Hello, How do you find where a liine intercepts another point on a graph. For example: Line y=2/3x+13.5 and Line y=-1/2x+3 where do they intersect? thank you

Question 7181: Hello,
How do you find where a liine intercepts another point on a graph.
For example:
Line y=2/3x+13.5 and Line y=-1/2x+3
where do they intersect?
thank you
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
they intersect...think about it...this is where the 2 lines are equal. So at that point, their x-vlaues are the same and their y-values are the same.

So, we have y=2/3x+13.5 and y=-1/2x+3, so we can equate their y-values, as follows:

2/3x+13.5 = -1/2x+3 --> assuming it is just 1/2x and not 1/(2x+3)...you really show use brackets more, to avoid confusion!

--> moving the x to the righthand side and the -10.5 to the lefthand side gives

-7/63 = x

--> x = -1/9

jon.

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