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How do I locate a point of intersection between two lines on Excel?

if I have two equations which are :

y = x + 2 & y = 2x + 1 <-------> how am i gonna find the intersection point on the chart to be shown?

what if I have 2x + 3y = 2 & 4x + 9y = 5. . . .can the chart shows the value of the intersection point?

1 Answer

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  • Anonymous
    9 years ago
    Favorite Answer

    I will assume you have two straight lines - if not please tell me what they

    are.

    Let the lines follow the two functions

    y1=m1x1+b1 and y2=m2x2+b2

    Let the point of intersection be Y and X

    Then m1X+b1=m2X+b2, giving X=(b2-b1)/(m1-m2)

    In Excel terms,

    X=(INTERCEPT(y-values2,x-values2)-INTERCEPT(y-values1,x-values1))/(SLOPE(y-values1,x-values1)-SLOPE(y-values2,x-values2))

    and Y =SLOPE(y-values1,x-values1)*X+INTERCEPT(y-values1,x-values1)

    Put these two formulas in cell A100 and B100

    Select A1:B100 and Copy

    Click chart; use Edit |Paste Special| specify New Series with X-value in

    first cell

    Click OK

    Now the chart has the point of intersection as a marker.

    best wishes

    Good luck!

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